Term
Chapter One!
Acute Angle*
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Definition
Angle measuring less than 90 degrees. |
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Term
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Definition
A gap, space, or interval between two points |
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Term
Chapter One!
Perpindicular Lines*
[image] |
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Definition
Two lines that intersect at right angles. |
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Term
Chapter One!
Acute Triangle*
[image] |
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Definition
Triangle whose all three acute angles. |
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Term
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Definition
Formed outside the polygon by extending one side
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Term
Chapter One!
Plane*
[image] |
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Definition
A flat, two-dimensional object. |
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Term
Chapter One!
Adjacent Angle*
[image] |
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Definition
Angles with atleast one side touching. |
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Term
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Definition
Formed inside the shape or within two parallel lines
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Term
Chapter One!
Point*
[image] |
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Definition
specifies only location; it has no length, width, or depth. |
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Term
Chapter One!
Angle*
[image] |
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Definition
Formed by two rays with a common endpoint
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Term
Chapter One!
Line*
[image] |
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Definition
Has only one dimension: length. It continues forever in two directions (so it has infinite length), but it has no width at all. |
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Term
Chapter One!
Postulate*
Ex) ASA |
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Definition
A fundamental element; a basic principle. |
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Term
Chapter One!
Angle Bisector*
[image] |
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Definition
A line that cuts an angle in half exactly. |
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Term
Chapter One!
Line Segment*
[image] |
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Definition
The portion of a line lying strictly between two points. It has a finite length and no width. |
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Term
Chapter One!
Ray*
[image] |
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Definition
Beginning at one point & going on forever in the opposite direction. |
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Term
Chapter One!
Collinear*
[image] |
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Definition
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Term
Chapter One!
Linear Pair*
[image] |
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Definition
Two angles that are adjacent and supplementary. |
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Term
Chapter One!
Right Angle*
[image] |
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Definition
Angle measuring 90 degrees, |
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Term
Chapter One!
Complementary Angles*
[image] |
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Definition
Two angles that add up to 90 degrees. |
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Term
Chapter One!
Midpoint*
[image] |
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Definition
A point that lies on a line, exactly in between two other points on that same line. |
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Term
Chapter One!
Segment Bisector*
[image] |
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Definition
Line that cuts a segment in half exactly. |
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Term
Chapter One!
Congruent*
[image]
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Definition
Two figures are congruent if all corresponding lengths are the same, and if all corresponding angles have the same measure. |
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Term
Chapter One!
Obtuse Angle*
[image] |
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Definition
Angle measuring over 90 degrees. |
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Term
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Definition
A set of elements or points satisfying specified geometric postulates |
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Term
Chapter One!
Coplanar*
[image] |
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Definition
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Term
Chapter One!
Opposite Rays*
[image] |
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Definition
Two rays that lie on the same or parallel lines but point in opposite. |
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Term
Chapter One!
Supplementary Angles*
[image] |
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Definition
Angles that add up to 180 degrees. |
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Term
Chapter One!
Degrees*
[image] |
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Definition
Unit of measurement of an angle. |
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Term
Chapter One!
Perpindicular Bisector*
[image] |
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Definition
The perpendicular bisector of a line segment is perpendicular to that segment and bisects it; that is, it goes through the midpoint of the segment, creating two equal segments. |
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Term
Chapter One!
Undefined Terms*
[image] |
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Definition
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Term
Chapter One!
Vertex*
[image] |
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Definition
The point where two sides
of a polygon meet. |
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Term
Chapter One!
Vertical Angles*
[image]
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Definition
The opposite angles formed by the intersection of two lines. Vertical angles are equal in measure.
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Term
Chapter Two!
Biconditional*
[image] |
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Definition
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Term
Chapter Two!
Compound Statement*
[image] |
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Definition
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Term
Chapter Two!
Conclusion*
[image] |
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Definition
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Term
Chapter Two!
Conditional Statement* |
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Definition
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Term
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Definition
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Term
Chapter Two!
Contrapositive*
[image] |
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Definition
The converse of the statement If p, then q is the statement If q, then p. |
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Term
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Definition
"If" and "then" parts of a sentence are switched. |
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Term
Chapter Two!
Counterexample* |
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Definition
The contrapositive of the statement If p, then q is the statement If not q, the not p. |
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Term
Chapter Two!
Deductive Reasoning* |
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Definition
Proving statements by reasoning from accepted postulates, definitions, theorems, and given information. |
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Term
Chapter Two!
Flow Proof*
[image] |
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Definition
| this method displays the delineated structure of a proof using boxes and connecting arrows |
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Term
Chapter Two!
Hypothesis*
[image] |
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Definition
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Term
Chapter Two!
If-Then Statement* |
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Definition
A statement whose basic form is If p, then q. Statement p is the hypothesis and statement q is the conclusion. |
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Term
Chapter Two!
Inductive Reasoning* |
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Definition
A kind of reasoning in which the conclusion is based on several past observations. |
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Term
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Definition
The inverse of the statement If p, then q, is the statement If not p, then not q. |
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Term
Chapter Two!
Negation*
[image] |
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Definition
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Term
Chapter Two!
Paragraph Proof*
[image] |
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Definition
| A kind of proof in which the steps are written out in complete sentences, in paragraph form |
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Term
Chapter Two!
Proof*
[image] |
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Definition
| any factual evidence that helps to establish the truth of something |
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Term
Chapter Two!
Properties*
[image] |
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Definition
| In mathematics, a locally compact topological group G has property (T) if the trivial representation is an isolated point in its unitary dual equipped with the Fell topology |
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Term
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Definition
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Term
Chapter Two!
Theorem*
[image] |
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Definition
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Term
Chapter Two!
Two-Column Proof*
[image] |
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Definition
| A two-column geometric proof consists of a list of statements, and the reasons that give explanation. |
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Term
Chapter 3,4&5!
Alternate Exterior Angles*
[image]
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Definition
| Angles located outside a set of parallel lines and on opposite sides of the transversal. |
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Term
Chapter 3,4&5!
Alternate Interior Angles*
[image] |
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Definition
| Angles located inside a set of parallel lines and on opposite sides of the transversal. |
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Term
Chapter 3,4&5!
Corresponding Angles*
[image] |
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Definition
In the same position. Coinciding. |
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Term
Chapter 3,4&5!
Consecutive Interior Angles*
[image] |
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Definition
Interior Angles next to each other, inside two parallel lines cut by a tranversal. |
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Term
Chapter 3,4&5!
Equidistant*
[image] |
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Definition
| the same distance apart at every point |
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Term
Chapter 3,4&5!
Parallel Lines*
[image] |
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Definition
Two lines in the same plane that never intersect. |
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Term
Chapter 3,4&5!
Parallel Planes*
[image] |
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Definition
| Parallelism is a term in geometry and in everyday life that refers to a property in Euclidean space of two or more lines or planes, or a combination of these. The existence and properties of parallel lines are the basis of Euclid's parallel postulate; planes that never intersect |
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Term
Chapter 3,4&5!
Skew Lines*
[image] |
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Definition
| In solid geometry, skew lines are two lines that do not intersect but are not parallel. Equivalently, they are lines that are not both in the same plane |
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Term
Chapter 3,4&5!
Transversal*
[image] |
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Definition
A line that passes through (transverses) two other lines. |
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Term
Chapter 3,4&5!
Included Angle*
[image] |
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Definition
| The included angle is double the cutting angle |
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Term
Chapter 3,4&5!
Included Side*
[image] |
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Definition
| The side between two consecutive angles of a polygon. |
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Term
Chapter 3,4&5!
Hypotenuse/Leg*
[image] |
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Definition
| two right triangles are congruent if their hypotenuses are congruent and a corresponding leg is congruent. |
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Term
Chapter 3,4&5!
CPCTC*
[image] |
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Definition
| In geometry, CPCTC is the abbreviation of a theorem involving congruent triangles. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent |
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Term
Chapter 3,4&5!
SAS*
[image] |
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Definition
| If any two sides of a triangle are equal in length to two sides of another triangle and the angles bewteen each pair of sides have the same measure, then the two triangles are congruent; that is, they have exactly the same shape and size. |
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Term
Chapter 3,4&5!
SSS*
[image] |
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Definition
If the three sides of one triangle have the same lengths as the three sides of another triangle, then the two triangles are congruent. |
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Term
Chapter 3,4&5!
ASA*
[image] |
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Definition
| a rule used in geometry to prove triangles are congruent. The rule states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent |
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Term
Chapter 3,4&5!
AAS*
[image] |
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Definition
| If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent |
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Term
Chapter 3,4&5!
Indirect Reasoning* |
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Definition
| Reasoning (proofs) using the Law of the Contrapositive, the Law of Ruling Out Possibilities, or the Law of Indirect Reasoning. |
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Term
Chapter 3,4&5!
Indirect Proof*
[image] |
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Definition
| In logic, proof by contradiction is a form of proof that establishes the truth or validity of a proposition by showing that the proposition being false would imply a contradiction |
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Term
Chapter 3,4&5!
Overlapping*
[image]
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Definition
| In mathematics, computer science and logic, overlap, as a property of the reduction rules in term rewriting system, describes a situation where a number of different reduction rules specify potentially contradictory ways of reducing a reducible expression (or redex) within a term. |
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Term
Chapter 3,4&5!
Triangles*
[image]
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Definition
A three-sided plane closed figure. Contains three angles the sum of whose measures is 180°.
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Term
Chapter Six!
Extremes*
[image] |
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Definition
| of the greatest possible degree or extent or intensity; most distant in any direction |
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Term
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Definition
| how a result is obtained or an end is achieved |
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Term
Chapter Six!
Proportion*
[image] |
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Definition
| the quotient obtained when the magnitude of a part is divided by the magnitude of the whole |
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Term
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Definition
| the relative magnitudes of two quantities |
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Term
Chapter Six!
Scale Factor*
[image] |
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Definition
| The ratio by which a drawing or figure is enlarged or reduced. The resultant figure is similar to the original |
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Term
Chapter Six!
Similar*
[image] |
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Definition
Two polygons are similar polygons if corresponding angles have the same measure and corresponding sides are in proportion. |
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Term
Chapter Six!
Polygons*
[image] |
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Definition
A two-dimensional geometric figure with these characteristics:
1. It is made of straight line segments.
2. Each segment touches exactly two other segments, one at each of its endpoints.
3. It is closed |
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Term
Chapter Six!
Concave*
[image]
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Definition
Any polygon with an angle measuring more than 180°. Concave polygons look like they are collapsed or have one or more angles dented in. |
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Term
Chapter Six!
Convex*
[image] |
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Definition
Any polygon that is not concave. |
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Term
Chapter Six!
Mid-Segment Of A Triangle*
[image] |
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Definition
| The mid-segment of a triangle joins the midpoints of two sides of a triangle such that it is parallel to the third side of the triangle |
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Term
Chapter Six!
Regular*
[image] |
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Definition
| A regular polygon is a polygon which is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be convex or star. |
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Term
Chapter Six!
Similar Polygons*
[image] |
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Definition
A polygon having the same shape but not the same size, in proportion
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Term
Chapter Seven!
Angle Of Depression*
[image] |
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Definition
| The angle formed by the horizontal and the line of sight to an object below the horizontal |
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Term
Chapter Seven!
Angle Of Elevation*
[image] |
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Definition
| The angle formed by the horizontal and the line of sight to an object above the horizontal |
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Term
Chapter Seven!
Cosine*
[image] |
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Definition
Cosine = Adjacent/Hypotenuse |
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Term
Chapter Seven!
Geometric Mean* |
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Definition
| the mean of n numbers expressed as the n-th root of their product |
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Term
Chapter Seven!
Pythagorean Theorem*
[image] |
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Definition
States that if you have a right triangle, then the square built on the hypotenuse is equal to the sum of the squares built on the other two sides |
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Term
Chapter Seven!
Sine*
[image] |
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Definition
Sine= Opposite/Hypotenuse |
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Term
Chapter Seven!
Solving A Triangle* |
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Definition
| A triangle has six parts, three sides and three angles. Given almost any three of them — three sides, two sides and an angle, or one side and two angles — you can find the other three values. This is called solving the triangle, and you can do it with any triangle, not just a right triangle. |
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Term
Chapter Seven!
Tangent*
[image] |
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Definition
Tangent= Opposite/Adjacent |
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Term
Chapter Seven!
Trigonometry*
[image]
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Definition
| the mathematics of triangles and trigonometric functions |
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Term
Chapter Seven!
Altitude Of A Right Triangle*
[image] |
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Definition
Line segment connecting a vertex to the line containing the opposite side and perpendicular to that side. |
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Term
Chapter Seven!
Law Of Sines*
[image] |
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Definition
| In trigonometry, the law of sines (also known as the sines law, sine formula, or sine rule) is an equation relating the lengths of the sides of an arbitrary triangle to the sines of its angle |
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Term
Chapter Seven!
Law Of Cosines*
[image] |
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Definition
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Term
Chapter Seven!
Unit Circle*
[image] |
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Definition
| In mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, "the" unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane |
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Term
Chapter Eight!
Diagonal*
[image] |
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Definition
A line segment connecting one vertex to another vertex, and not a side of the polygon
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Term
Chapter Eight!
Isosceles Trapezoid*
[image] |
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Definition
A trapezoid with congruent base angles. |
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Term
Chapter Eight!
Kite*
[image] |
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Definition
Quadrilateral that has two pairs of adjacent sides congruent (the same length). |
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Term
Chapter Eight!
Median(Midsegment of a Trapezoid)*
[image] |
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Definition
A line segment parallel to the bases and bisecting the legs. |
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Term
Chapter Eight!
Parallelogram*
[image] |
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Definition
A quadrilateral that has two pairs of opposite sides that are parallel. |
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Term
Chapter Eight!
Rectangle*
[image] |
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Definition
A quadrilateral with four right angles; and two pairs of congruent sides. |
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Term
Chapter Eight!
Rhombus*
[image] |
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Definition
Quadrilateral that has all four sides congruent. |
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Term
Chapter Eight!
Square*
[image] |
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Definition
A regular quadrilateral; four congruent sides and angles; four 90 degree angles. |
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Term
Chapter Eight!
Trapezoid*
[image] |
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Definition
A quadrilateral that has one pair of opposite sides that are parallel. |
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Term
Chapter Eight!
Consecutive Angles Of A Quadrilateral*
[image] |
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Definition
| are any two angles whose vertices are the endpoints of the same side |
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Term
Chapter Eight!
Decagon*
[image] |
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Definition
polygon with 10 sides and 10 angles
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Term
Chapter Eight!
Dodecagon*
[image]
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Definition
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Term
Chapter Eight!
Exterior Angles Of A Polygon*
[image] |
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Definition
Angle formed outside the polygon by extending one side.
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Term
Chapter Eight!
Hexagon*
[image] |
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Definition
A plane closed figure with six sides and six angles.
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Term
Chapter Eight!
Heptagon*
[image] |
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Definition
A plane closed figure with seven sides and seven angles
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Term
Chapter Eight!
Interior Angles Of A Polygon*
ex: 5-2(180)/5
int. angle: 108 |
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Definition
the angle inside the shape
n-2(180)/n |
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Term
|
Definition
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Term
Chapter Eight!
Nonagon*
[image] |
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Definition
A plane closed figure with nine sides and nine angles
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Term
Chapter Eight!
Octagon*
[image] |
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Definition
A plane closed figure with eight sides and eight angles
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Term
Chapter Eight!
Opposite Angles Of A Quadrilateral*
[image] |
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Definition
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Term
Chapter Eight!
Pentagon*
[image] |
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Definition
A five-sided plane closed figure. The sum of its five angles is 540°.
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Term
Chapter Eight!
Perimeter*
[image] |
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Definition
The total distance around the outside of any polygon. The total length of all the sides.
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Term
Chapter Eight!
Quadrilateral*
[image] |
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Definition
A polygon with exactly four sides. |
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Term
Chapter Eight!
Bases Of A Trapezoid*
[image] |
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Definition
| the parallel sides of a trapezoid |
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Term
Chapter Eight!
Height Of A Trapezoid*
[image] |
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Definition
| The height of the trapezoid is the perpendicular distance between the bases |
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Term
Chapter Eight!
Undecagon*
[image] |
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Definition
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Term
Chapter Ten!
Arc*
[image] |
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Definition
The set of points on a circle that lie in the interior of a central angle.
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Term
Chapter Ten!
Center*
[image] |
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Definition
| a point equidistant from the ends of a line or the extremities of a figure |
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Term
Chapter Ten!
Central Angle*
[image] |
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Definition
An angle with its vertex at the center of a circle. |
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Term
Chapter Ten!
Chord*
[image] |
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Definition
A line segment joining any two points on a circle
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Term
Chapter Ten!
Circle*
[image] |
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Definition
The set of all points in a plane that are equidistant from a given point in the plane, which is the center of the circle. |
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Term
[image]Chapter Ten!
Circumference*
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Definition
The distance around a circle |
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Term
Chapter Ten!
Circumscribed*
[image] |
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Definition
| the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter |
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Term
Chapter Ten!
Common External Tangent*
[image] |
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Definition
| A tangent of two circles is a common external tangent if the intersection of the tangent and the line segment joining the centers is empty |
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Term
Chapter Ten!
Common Internal Tangent*
[image] |
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Definition
| A tangent of two circles is a common internal tangent if the intersection of the tangent and the line segment joining the centers is not empty |
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Term
Chapter Ten!
Concentric Circles*
[image] |
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Definition
Circles with the same center. |
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Term
Chapter Ten!
Diameter*
[image] |
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Definition
Segment that passes through the center and has its endpoints on the circle. |
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Term
Chapter Ten!
Externally Tangent Circles*
[image] |
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Definition
| Two circles, neither of which is inside the other |
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Term
Chapter Ten!
Inscribed Angles*
[image] |
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Definition
In geometry, an inscribed angle is formed when two secant lines of a circle (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle
An angle whose vertex is on a circle and whose rays intersect the circle. |
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Term
Chapter Ten!
Inscribed Figure*
[image] |
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Definition
| In geometry, an inscribe planar shape or solid is one that is enclosed by and "fits snugly" inside another geometric shape or solid. Specifically, at all points where figures meet, their edges must lie tangent |
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Term
Chapter Ten!
Intercepted Arc*
[image] |
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Definition
| a central angle can intercept or 'cut off' an arc |
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Term
Chapter Ten!
Internally Tangent Circles*
[image] |
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Definition
| Two circles, one of which is inside the other, that have a single point in. |
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Term
Chapter Ten!
Major Arc*
[image] |
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Definition
| the larger of two arcs formed when a circle is divided into two unequal parts |
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Term
Chapter Ten!
Minor Arc*
[image] |
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Definition
| the smaller of two arcs formed when a circle is divided into two unequal parts |
|
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Term
|
Definition
A constant used in determining a circle's area or circumference. Equals approximately 3.14 or 22/7
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Term
Chapter Ten!
Point Of Tangency*
[image] |
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Definition
| In geometry, the tangent line (or simply the tangent) to a curve at a given point is the straight line that "just touches" the curve at that point |
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Term
Chapter Ten!
Radius*
[image] |
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Definition
The distance from the circle's center to a point on the circle, and is constant for a given circle. |
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Term
Chapter Ten!
Secant*
[image] |
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Definition
| a straight line that intersects a curve at two or more points. ratio of the hypotenuse to the adjacent side of a right-angled triangle |
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Term
Chapter Ten!
Semicircle*
[image] |
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Definition
| a semicircle is a two-dimensional geometric shape that forms half of a circle. Being half of a circle's 360°, the arc of a semicircle always measures 180°. A triangle inscribed in a semicircle is always a right triangle. |
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Term
Chapter Eleven!
Apothem*
[image] |
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Definition
| The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word "apothem" can also refer to the length of that line segment |
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|
Term
Chapter Eleven!
Geometric Probability* |
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Definition
| Problems of the following type, and their solution techniques, were first studied in the nineteenth century, and the general topic became known as geometric probability |
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Term
Chapter Eleven!
Irregular Figure*
[image] |
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Definition
| a irregular figure is not a particular shape it may have two or more figures in to make a irregular figure |
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Term
Chapter Eleven!
Irregular Polygon*
[image] |
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Definition
In geometry a polygon is traditionally a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments
Any polygon that is not regular. |
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|
Term
Chapter Eleven!
Sector Of A Circle*
[image] |
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Definition
| the portion of a circle enclosed by two radii and an arc |
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Term
Chapter Eleven!
Segment Of A Circle*
[image] |
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Definition
| an area of a circle informally defined as an area which is "cut off" from the rest of the circle by a secant or chord |
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|
Term
Chapter 12/13!
Altitude Of A 3D Figure*
[image] |
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Definition
Line segment connecting a vertex to the line containing the opposite side and perpendicular to that side. |
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Term
Chapter 12/13!
Bases*
[image] |
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Definition
| the bottom side of a geometric figure from which the altitude can be constructed |
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|
Term
Chapter 12/13!
Cone*
[image] |
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Definition
| a shape whose base is a circle and whose sides taper up to a point |
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Term
Chapter 12/13!
Congruent Figures*
[image] |
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Definition
| If two figures are congruent, then their corresponding parts are congruent |
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Term
Chapter 12/13!
Cube*
[image] |
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Definition
A six-sided solid. All sides are equal squares and all edges are equal.
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Term
Chapter 12/13!
Congruent Solids*
[image] |
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Definition
| A prism is a solid that has two congruent parallel bases that are polygons |
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Term
Chapter 12/13!
Cylinder*
[image] |
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Definition
| a solid bounded by a cylindrical surface and two parallel planes |
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Term
Chapter 12/13!
Edges*
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Definition
Line segment where two faces intersect. |
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Term
Chapter 12/13!
Face*
[image] |
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Definition
a surface forming part of the outside of an object
Polygon by which a solid object is bound |
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Term
Chapter 12/13!
Great Circle*
[image] |
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Definition
| a circular line on the surface of a sphere formed by intersecting it with a plane passing through the center |
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Term
Chapter 12/13!
Height*
[image] |
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Definition
Altitude. From the highest point, a perpendicular drawn to the base.
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Term
Chapter 12/13!
Hemisphere*
[image] |
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Definition
| A half-sphere, formed by a plane intersecting the center of a sphere |
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Term
Chapter 12/13!
Lateral Area*
[image] |
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Definition
| The sum of the areas of the lateral (vertical) faces of a cylinder, cone, frustum, or the like |
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Term
Chapter 12/13!
Lateral Faces*
[image] |
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Definition
| the polygon shapes making up the sides of a polyhedron |
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Term
Chapter 12/13!
Nets*
[image] |
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Definition
A plane figure obtained by opening and flattening a solid figure
Two-dimensional representation of a three-dimensional object |
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Term
Chapter 12/13!
Oblique (Cone, Cylinder, Prism)*
[image][image][image] |
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Definition
Cone: A cone with an apex that is not aligned above the center of the base.
Cylinder: A cylinder with bases that are not aligned one directly above the other
Prism: A prism in which the bases are not aligned properly |
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Term
Chapter 12/13!
Platonic Solids*
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Definition
A solid such that all of its faces are congruent regular polygons and the same number of regular polygons meet at each vertex. |
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Term
Chapter 12/13!
Dodecahedron*
[image] |
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Definition
| any polyhedron having twelve plane faces |
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Term
Chapter 12/13!
Hexahedron*
[image]
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Definition
| any polyhedron having six plane faces |
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Term
Chapter 12/13!
Icosahedron*
[image] |
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Definition
| any polyhedron having twenty plane faces |
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Term
Chapter 12/13!
Tetrahedron*
[image] |
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Definition
| any polyhedron having four plane faces |
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Term
Chapter 12/13!
Octahedron*
[image] |
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Definition
| any polyhedron having eight plane faces |
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Term
Chapter 12/13!
Polyhedron*
[image] |
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Definition
A closed three-dimensional figure. All of the faces are made up of polygons. |
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Term
Chapter 12/13!
Prism*
[image] |
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Definition
A three-dimensional shape bounded by congruent parallel faces and a set of parallelograms formed by joining the corresponding vertices of the bases.
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Term
Chapter 12/13!
Pyramid*
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Definition
| a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex |
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Term
Chapter 12/13!
Right (Cone,Cylinder,Prism)*
[image][image][image] |
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Definition
Cone: a shape whose base is a circle and whose sides taper up to a point at a right angle
Cyclinder: a solid bounded by a cylindrical surface and two parallel planes and a right angle
Prism:
polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelograms Base meets side at a right angle. |
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Term
Chapter 12/13!
Similar Solids*
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Definition
| solids with the same shape and all their corresponding dimensions are proportional |
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Term
Chapter 12/13!
Slant Height*
[image] |
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Definition
| The slant height of a right circular cone is the distance from any point on the circle to the apex of the cone |
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Term
Chapter 12/13!
Sphere*
[image] |
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Definition
| a perfectly round geometrical object in three-dimensional space, such as the shape of a round ball |
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Term
Chapter 12/13!
Surface Area*
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Definition
The total surface of all sides of a solid, or the total area of faces.
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Term
Chapter 12/13!
Vertices Of A 3D Object*
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Definition
The points at which two rays meet and form an angle, or the point at which two sides meet in a polygon.
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Term
Chapter 12/13!
Volume*
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Definition
| The volume of any solid, liquid, gas, plasma, or vacuum is how much three-dimensional space it occupies, often quantified numerically |
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Term
Chapter Nine!
Center Of Dilation*
[image] |
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Definition
| a fixed point in the plane about which all points are expanded or contracted |
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Term
Chapter Nine!
Center Of Rotation*
[image]
>> P |
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Definition
| the point that does not move |
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Term
Chapter Nine!
Column Matrix*
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Definition
| column matrix is an ordered list of numbers written in a column |
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Term
Chapter Nine!
Columns Of A Matrix*
[image] |
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Definition
| the vertical lines are called columns |
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Term
Chapter Nine!
Composition*
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Definition
| function composition is the application of one functon to the results of another. |
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Term
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Definition
| the set of values of the dependent variable for which a function is defined; "the image of f(x) = x^2 is the set of all non-negative real numbers if the domain of the function is the set of all real numbers |
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Term
Chapter Nine!
Dilation*
[image]
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Definition
| a dilation is a function from a metric space into itself that satisfies the identity |
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Term
Chapter Nine!
Identity Matrix*
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Definition
| a scalar matrix in which all of the diagonal elements are unity |
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Term
Chapter Nine!
Isometry*
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Definition
| an isometry, isometric isomorphism or congruence mapping is a distance-preserving map between metric spaces. Geometric figures which can be related by an isometry are called congruent |
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Term
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Definition
| In mathematics and related technical fields, the term map or mapping is a synonym for function. Thus, for example, a partial map is a partial function, and a total map is a total function. Related terms like domain, codomain, injective, continuous, etc |
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Term
Chapter Nine!
Pre-Image*
[image]
>> Pre-image; Figure 1 |
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Definition
| The image before it is changed |
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Term
Chapter Nine!
Reflection*
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Definition
A mirror image of the object. |
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Term
Chapter Nine!
Reflection Matrix* |
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Definition
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Term
Chapter Nine!
Rotation*
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Definition
a transformation in which the coordinate axes are rotated by a fixed angle about the origin
An object is turned about a "center" point, through a particular angle. |
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Term
Chapter Nine!
Rotation Matrix*
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Definition
| a rotation matrix is any matrix that acts as a rotation in Euclidean space |
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Term
Chapter Nine!
Row Matrix*
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Definition
| The transpose of a row vector is a column vector: The set of all row vectors forms a vector space which is the dual space to the set of all column vectors |
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Term
Chapter Nine!
Scalar*
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Definition
| quantity used to multiply vectors in the context of vector spaces |
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Term
Chapter Nine!
Standard Matrix*
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Definition
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Term
Chapter Nine!
Translation*
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Definition
a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the same
An object is moved in a given direction for a particular distance. |
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Term
Chapter Nine!
Translation Matrix*
[image] |
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Definition
| a translation is moving every point a constant distance in a specified direction |
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Term
Chapter Nine!
Vertex Matrix*
[image] |
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Definition
Given a reference triangle ABC, the trilinear vertex matrix of another triangle ABC is the 3x3 matrix whose rows are the trilinear coordinates of the vertices A', B', and C'. For example, ABC has trilinear vertex matrix |
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