Shared Flashcard Set

Details

Flashcard Project
Flashcard project
205
Mathematics
10th Grade
05/16/2010

Additional Mathematics Flashcards

 


 

Cards

Term

 

 

 

 

Biconditional

Definition

 

 

 

 

The conjunction of a conditional statement and its converse.

 

EX. (p<-->q)

Term

 

 

 

 

Compound Statement

Definition

 

 

 

 

A statement formed by joining two or more statements.

 

EX. Albany is a city in New York, and is the capital.

Term

 

 

 

 

Conclusion

Definition

 

 

 

 

In a conditional staement the statement that immediately follows the word then.

 

EX. If the sun is out then it is day time.

Term

 

 

 

 

Conditional Statement

Definition

 

 

 

 

A statement that can be written in if-then form

 

EX. If the sun is out then it is day time.

Term

 

 

 

 

Conjecture

Definition

 

 

 

 

An educated guess based on known information.

 

EX. Since the sun is out it must be day time.

Term

 

 

 

 

Contrapositive

Definition

 

 

 

The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.

 

EX. ~q-->~p

Term

 

 

 

 

Converse

Definition

 

 

 

The statement formed by exchanging the hypothesis and conclustion of a condition of a conditional statement.

 

EX. q-->p

Term

 

 

 

 

Counterexample

Definition

 

 

 

 

An example used to show that a given statement is not always true.

 

EX. The sun can be out in the evening

Term

 

 

 

 

Deductive Reasoning

Definition

 

 

 

 

A system of reasoning that uses facts, rules, definitios or properties to reach a logical conclusion.

Term

 

 

 

 

Hypothesis

Definition

 

 

 

 

In a conditional statement, the statement that immediately follows the word if.

 

EX. If the sun is out then it is daytime.

Term

 

 

 

 

Inverse

Definition

 

 

 

 

The statement formed by negating both the hypothesis and the conclusion of a conditional statement.

 

EX. ~p-->~q

Term

 

 

 

 

Negation

Definition

 

 

 

 

If a statement is represented by p then not p is the negation of the statement.

 

EX. p-->~p

Term

 

 

 

 

Properties

Definition

 

 

 

 

Equalities for real numbers

Term

 

 

 

 

Theorum

Definition

 

 

 

 

A statement or conjecture that can be proven true by undefined terms, definitions and postulates.

 

EX. Theorum 2.8 says If two angles are verticle angles, then they are congruent.

Term

 

 

 

Alternate Exterior Angles

Definition

 

 

Outside of parallel lines opposite sides of transversal.

 

EX.[image]

Term

 

 

 

 

Alternate Interior Angles

Definition

 

 

 

 

Inside of parallel lines opposite of transversal

 

EX.[image]

Term

 

 

 

 

Consecutive Interior Angles

Definition

 

 

 

Inside of parallel ines same side of transversal.

 

EX.[image]

Term

 

 

 

Corresponding Angles

Definition

 

 

 

One inside, one outside, same side of transversal

 

EX. [image]

Term

 

 

 

Parallel lines

Definition

 

 

 

 

Coplanar lines that dont intersect

 

EX. __________

 

     __________

Term

 

 

 

Parallel planes

Definition

 

 

 

 

Planes that dont intersect.

 

EX. [image]

Term

 

 

 

 

Skew Lines

Definition

 

 

 

 

Lines that dont intersect and are not coplanar

 

EX. [image]

Term

 

 

 

 

Transversal

Definition

 

  

 A line that intersects two or more lines in a plane at different points.

 

EX. [image]

Term

 

 

 

 

Acute Angles

Definition

 

 

 

An angle with a measure of less than 90 degrees.

 

EX. [image]

Term

 

 

 

Distance

Definition

 

 

 

 

The amount of space from one point to another

 

EX. point M is 5 inches from point N

 

 

 

 

Term

 

 

 

 

Perpendicular Lines

Definition

 

 

 

Two or more lines that for a right angle

 

EX.[image]

Term

 

 

 

 

Acute Triangle

Definition

 

 

 

 

A triangle in which all of its angles are acute.

 

EX.[image]

Term

 

 

 

 

Exterior

Definition

 

 

 

A point is in the exterior of an angle if it is neither on the angle nor in the interior of the angle.

 

EX. [image]

Term

 

 

 

 

Plane

Definition

 

 

A basic undefined term of geometry. A flat surface made up of points that has no depth and extends indefinitely in all directions.

 

EX.[image]

Term

 

 

 

 

Adjacent Angle

Definition

 

 

Two angles that lie on the same plane, have a common vertex and a common side, but no common interior points.

 

EX.[image]

Term

 

 

 

Interior

Definition

 

 A point is in the interior of an angle if it does not lie on the angle itself and it lies on a segment with endpoints that are on the sides of the angles.

EX. [image]

Term

 

 

 

 

Point

Definition

 

 

 

A basic undefined term of geometry. A point is a location. In a figure, points are represnted by a dot.

 

EX.  [image]

Term

 

 

 

 

Angle

Definition

 

 

 

 

The intersection of two noncollinear rays at a common endpoint. The rays are called sides and the common endpoint is called the vertex.

 

EX. [image]

Term

 

 

 

 

Line

Definition

 

 

A basic undefined term of geometry. A line is made up of points and has no thickness or width. In a figur, a line is shown with an arrowhead at each other.


EX.[image]

Term

 

 

 

 

Postulate

Definition

 

 

 

 

A statement that describes a fudamental relationship between the basic terms of geometry.

 

EX. Postulate 2.8 says that if two angles are verticle, then they are congruent

Term

 

 

 

 

Angle Bisector

Definition

 

 

 

A ray that divides an angle into two congruent angles.

 

EX.[image]

Term

 

 

 

 

Line segment

Definition

 

 

 

A measurable part of a line that consists of two points, called endpoints, and all of the points between them.

 

EX.[image]

Term

 

 

 

 

Ray

Definition

 

 

A line that has one endpoint and one side thst never ends.

 

EX. [image]

Term

 

 

 

 

Collinear

Definition

 

 

 

Points that lie on the same line.

 

EX. [image]

Term

 

 

 

 

Linear Pair

Definition

 

 

 

 

A pair of adjacent angles whose noncommon sides are opposite rays

 

EX. [image]

Term

 

 

 

 

Right Angle

Definition

 

 

 

 

An angle which measure 90 degrees

 

EX. [image]

Term

 

 

 

 

Complementary angles

Definition

 

 

 

Two angles that have a sum of 90 degrees.

 

EX. [image]

Term

 

 

 

 

Midpoint

Definition

 

 

 

The point halfway between the endpoints of a segment.

 

EX. [image]

Term

 

 

 


Segment bisector

Definition

 

 

 

A segement, line, or plane that intersects a segment at its midpoint

 

EX. [image]

Term

 

 

 

 

Congruent

Definition

 

 

 

 

Having the same measure.

 

EX. [image]

Term

 

 

 

 

Obtuse Angle

Definition

 

 

 

 

An angle that is over 90 degrees

 

EX.[image]

Term

 

 

 

 

Space

Definition

 

 

 

A boundless three-dimentional set of all points

 

EX. [image]

Term

 

 

 

Coplanar

Definition

 

 

 

 

Points that lie on the same plane.

 

EX. [image]

Term

 

 

 

 

Opposite Rays

Definition

 

 

 

 

Two rays with a common end point.

 

EX. [image]

Term

 

 

 

Supplementary Angles

Definition

 

 

 Two angles with measures that add up to 180 degrees.

 

EX.[image]

Term

 

 

 

 

Degree

Definition

 

 

 

 

A unit of measure used to measure angles and arcs.

 

EX. Angle A= 80 degrees

Term

 

 

 

 

Perpendicular Bisector

Definition

 

 

A line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side.

 

EX. [image]

Term

 

 

 

Undefined Terms

Definition

 

 

 

Words that are not formally explained by means of basic words or consepts

 

EX. A line or a plane

Term

 

 

 

 

Vertex

Definition

 

 

 

 

The common endpoint of an angle.

 

EX. [image]

Term

 

 

 

 

Vertical Angles

Definition

 

 

 

Two nonadjacent angles formed by two intersecting lines.

 

EX. [image]

Term

 

 

 

 

Acute Triangle

Definition

 

 

 

 

A triangle with all angles being acute.

 

EX.[image]

Term

 

 

 

Altitude of a triangle

Definition

A segment from a vertex of a triangle to the line containing the opposite side.

 

EX. [image]

 

 

 

 

Term

 

 

 

 

Base angles

Definition

 

 

 

 

Two angles formed by the base and a congruent side

 

EX. [image]

Term

 

 

 

Centroids

Definition

 

 

 

 

The point of concurrency of the medians of a triangle

 

EX. [image]

Term

 

 

 

 

Circumcenter

Definition

 

 

The point of concurrency of the perpendicular bisectors of a triangle

EX. [image]

Term

 

 

 

 

Congruence

Definition

 

 

 

 

Mapping for a geometric figure and its image

 

EX. [image]

Term

 

 

 

 

Congruent triangles

Definition

 

 

 

 

Triangles that have their corresponding parts congruent

 

EX. [image]

Term

 

 

 

 

Coordinate Proofs

Definition

A proof that uses figues in the coordinate plane to prove concepts.

 

EX. [image]

Term

 

 

 

 

Corollary

Definition

 

 

 

 

Statement that can easily be proven using a theorum

 

EX. The three angles of a regular triangle equal 180

Term

 

 

 

 

Equiangular Triangle

Definition

 

 

 

A triangle with all angles congruent

 

EX. [image]

Term

 

 

 

 

Equilateral Triangle

Definition

 

 

 

 Triangle with all sides congruent

 

EX. [image]

Term

 

 

 

 

External angle

Definition

 

 

 

 

An angle formed by one side of a shape and the extension of another

 

EX. [image]

Term

 

 

 

 

Hypotenuse

Definition

 

 

 

The side of the triangle opposite the right angle

 

EX. [image]

Term

 

 

 

 

Incenter

Definition

 

 

 

The point of concurrency of the angle bisector of a triangle.

 

EX. [image]

Term

 

 

 

 

Isosceles Triangle

Definition

 

 

 

A triangle with at least 2 sides congruent

 

EX. [image]

Term

 

 

 

 

Legs of a right triangle

Definition

 

 

 

Always equal 90 degrees

 

EX. [image]

Term

 

 

 

 

Median of a triangle

Definition

 

 

 

A line segment with end points that are a vertex of a triangle

 

EX. [image]

Term

 

 

 

 

Obtuse Triangle

Definition

 

 

 

 

Triangles with an obtuse angle

 

EX. [image]

Term

 

 

 

 

Perpendicular bisector

Definition

 

 

 

Line, segment, or a ray that passes through the mid point of a triangle

 

EX. [image]

Term

 

 

 

 

Point of congruency

Definition

 

 

 

 

The point of intersection of concurrent lines

 

EX. [image]

Term

 

 

 

 

Remote interior angle

Definition

 

 

 

The angles of a triangle that are not adjacent to a given angle

 

EX. [image]

Term

 

 

 

 

Right Triangle

Definition

 

 

A triangle with a right angle

 

EX. [image]

Term

 

 

 

 

Scalene Triangle

Definition

 

 

A triangle with no 2 sides congruent

 

EX. [image]

Term

 

 

 

 

Vertex Angles

Definition

 

 

 

The angle opposite the base on an isosceles triangle

 

EX.  [image]

Term

 

 

 

 

Included angle

Definition

 

 

 

 In a triangle, the angle formed by two sides is the included angle for those two sides.

 

EX. [image]

Term

 

 

 

 

Included side

Definition

 

 

 

The side of a triangle that is a side of each of the two angles.

 

EX. [image]

Term

 

 

 

 

Indirect reasoning

Definition

 

 

 

Assumes that the conclusion is false and then shows tha this assumption leads to a contradiction of the hypothesis or some other accepted fact.

 

EX. X is odd

X is not odd

Term

 

 

 

 

Indirect proof

Definition

 

 

 

Assumes the statement is false. One then uses logical reasoning to deduce that a statement controdicts an assumption. Once the contradiction is obtained, one concludes that the statement is actually true.

EX. 1/2 >Y

1/2 > or equal to Y

Term

 

 

 

 

Concave

Definition

 

 

If any point of the lines contain any point in the interior of the polygon

 

EX. [image]

Term

 

 

 

 

Convex

Definition

 

 

 

If the polygon has no points of a line pass through it

 

EX. [image]

Term

 

 

 

mid-segment of a triangle

Definition

 

 

A segment with endpoints that are the midpoints of two sides of a triangle

 

EX. [image]

Term

 

 

 

 

Polygon

Definition

 

 

A closed figure formed by a finite number of coplanar segments called sides

 

EX. [image]

Term

 

 

 

 

Proportion

Definition

 

 

 

An equation that states two ratios are equal

 

EX. 2/3=6/9

Term

 

 

 

 

Regular

Definition

 

 

A convex polrgon in which all of the sides and angles are congruent

 

EX. [image]

Term

 

 

 

 

Scale Factor

Definition

 

 

 

The ratio of the lengths of two corresponding sides of two similar polygons or two similar solids.

 

EX. 6:3=2:1

Term

 

 

 

 

Similar polygons

Definition

 

Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding sides are proportional.

 

EX. [image]

Term

 

 

 

Angle of Depression

Definition

 

 

The angle between the line of sight and the horizontal when and observer looks upward.

 

EX.[image]

Term

 

 

 

 

Angle of elevation

Definition

 

 

The angle between the line of sight and the horizontal when an observer looks upward

 

EX.[image]

 

Term

 

 

 

 

Altitude of a right triangle

Definition

A segment from a vertex of the triangle to the line containing the opposite side and a perpendicular


EX. [image]

Term

 

 

 

 

Cosine

Definition

 

 

 

For an acute angle of a right triangle. the ratio of the measure of a leg adjacent to the acute angle and the hypotenuse.

 

EX. Cos30=x/15

Term

 

 

 

 

Geometric Mean

Definition

 

 

 

 

For any positive numbers a and b the positive number x such that a/x=x/b

 

EX. a/x=x/b

Term

 

 

 

 

Pythagorean triple

Definition

 

 

 

 A group of three whole numbers that satisfies the equation a2+b2=c2

 

EX. 32+42=52

 

 

Term

 

 

 

 

Sine

Definition

 

 

For an acute angle of a right triangle the ratio of the measure of the leg opposite the acute angle to the measure of hte hypotenuse

 

EX. sin30=x/15

Term

 

 

 

 

Solving a triangle

Definition

Finding the measure of all angles and sides of a triangle.

 

EX. [image]

Term

 

 

 

 

Tangent

Definition

 

 

 

The ratio of the measure of the leg opposite the acute angle to the measure of the leg adjacent to the acute angle.

 

EX. tan30=x/12

Term

 

 

 

 

Trigonometry

Definition

 

 

The study of the properties of triangles and trigonometric functions and their applications

 

EX. [image]

Term

 

 

 

Consecutive angles of a quadrilateral

Definition

 

 

 

 

Angles whose verticles are the endpoints of the same side

EX.[image]

Term

 

 

 

 

Decagon

Definition

 

 

 

Shape with 10 sides

 

 

EX. [image]

Term

 

 

 

Diagonal

Definition

 

 

 

A segment that connects non consecutive verticles of a polygon

 

EX. [image]

Term

 

 

 

 

Dodecagon

Definition

 

 

A shape with 12 sides


EX. [image]

Term

 

 

 

 

Exterior angles of a polygon

Definition

 

Angles on outside of polygon

 

EX.[image]

Term

 

 

 

 

Hexagon

Definition

 

 

A shape with 6 sides

 

EX. [image]

Term

 

 

 

 

Heptagon

Definition

 

 

A shape with 7 sides

 

EX. [image]

Term

 

 

 

 

Interior angles of a polygon

Definition

 

angles on the inside of a polygon

 

EX. [image]

 

Term

 

 

 

Isosceles trapazoid

Definition

 

 

 

A trapazoid in which the legs are congruent,both pair of base angles are congruent, and diagonals are congruent

 

EX. [image]

Term

 

 

 

Kite

Definition

 

A quadrilateral with exactly two distinct pairs of adjacent congruent sides

 

EX. [image]

Term

 

 

 

 

Median of a trapazoid

Definition

 

 

 

In a trapazoid, the segment that joins the median of the legs

EX. [image]

Term

 

 

 

N-gon

Definition

 

 

 

A polygon with n sides

 

EX. [image]

Term

 

 

 

 

Nonagon

Definition

 

A shape with 9 sides

 

EX. [image]

Term

 

 

 

Octagon

Definition

 

A shape with 8 sides

 

EX. [image]

Term

 

 

 

 

Opposite angles of a quadrilateral

Definition

 

 

Any 2 angles in a quadrilateral that arent consecutive

 

EX. [image]

Term

 

 

 

Opposite sides of a quadrilateral

Definition

 

 

Any 2 sides in a quadrilateral that arent consecutive

 

EX.[image]

Term

 

 

 

Parallelogram

Definition

 

 

A quadrilateral with parallel opposite sides

 

EX. [image]

Term

 

 

 

Pentagon

Definition

 

A shape with 5 sides

 

EX. [image]

Term

 

 

 

Perimeter

Definition

 

 

 

The sum of the lengths of the sides of a polygon

 

EX. [image]

Term

 

 

 

Quadrilateral

Definition

 

A polygon with 4 sides

 

EX. [image]

Term

 

 

 

Rectangle

Definition

 

A quadrilateral with four right angles

 

EX. [image]

Term

 

 

 

 

Rhombus

Definition

A quadrilateral with all four sides congruent

 

EX. [image]

Term

 

 

 

 

Square

Definition

 

A polygon  with all four sides congruent

 

EX. [image]

Term

 

 

 

Trapezoid

Definition

 

 

 

 

A quadrilateral with exactly one pair of parallel sides

 

EX. [image]

Term

 

 

 

 

Bases of a trapezoid

Definition

 

 

 

The parallel sides of a trapazoid

 

EX. [image]

Term

 

 

 

Height of a trapezoid

Definition

 

 

 

How high the trapazoid is

 

EX. [image]

Term

 

 

 

 

Arc

Definition

 

 

A part of a circle that is defined by 2 endpoint

 

EX. [image]

Term

 

 

 

Center

Definition

 

Equidistance from a given point

 

EX. [image]

Term

 

 

 

 

Central angle

Definition

 

An angle that intersects a circle in 2 points and has its vertex at the center

 

EX. [image]

Term

 

 

 

 

Chord

Definition

 

 

 

A segment with endpoints that are on a given circle

 

EX.[image]

Term

 

 

 

 

Circle

Definition

 

The set of all points in a plane equidistant from a given point

 

EX. [image]

Term

 

 

 

 

Circumference

Definition

 

distance around the circle

EX. [image]

Term

 

 

 

 

Circumscribed

Definition

 

A circle is circumscribed about apolygon if the circle contains all of the verticlas of a polygon

 

EX. [image]

Term

 

 

 

Diameter

Definition

 

Chord that passes through the circle

 

EX. [image]

Term

 

 

 

 

Inscribed

Definition

 

A polygon is inserted into a circle if each of its verticles lines on the circle

 

EX. [image]

Term

 

 

 

 

Intercepted

Definition

 

 

 

The endpoint of an arc lie on a line all points of the arc except the endpoints

 

EX. [image]

Term

 

 

 

Major arc

Definition

 

An arc with a measure greater than 180 degrees

 

EX. [image]

Term

 

 

 

 

Minor arc

Definition

 

 

An arc with a measure less than 180 degrees

 

EX. [image]

Term

 

 

 

 

Pi

Definition

An irrational number represented by the ratio 3.14

 

EX. [image]

Term

 

 

 

Point of tangency

Definition

 

 

For a line that intersects a circle in only one point, the point at which they intersect

 

EX. [image]

Term

 

 

 

Radius

Definition

In a circle, any segment with endpoints that are the center of the circle and a point in the circle

 

EX.[image]

Term

 

 

 

 

Secant

Definition

 

 

Any line that intersects a circle in exactly two points

 

EX. [image]

Term

 

 

 

 

Semicircle

Definition

An arc that measures 180 degrees

 

EX. [image]

Term

 

 

 

 

Tangent

Definition

 

 

 

A line in the plane of a circle that intersects the circle in exactly one point

EX. [image]

Term

 

 

 

Apothem

Definition

A segemtn that is drawn from the center of a regualr polygon perpendicular to a side of the polygon

 

EX. [image]

Term

 

 

 

Geometric probability

Definition

 

 

 

 

Using the priciples of length and area to find the probability of an event

 

EX. 30%

Term

 

 

 

 

Irregular Figure

Definition

 

A figure that cannot be classified as a single polygon

 

EX. [image]

Term

 

 

 

Irregular Polygon

Definition

 

 

 

A polygon that is not regular

 

EX. [image]

Term

 

 

 

Sector of a circle

Definition

 

A region of a circle bounded by a central angle and its intercepted arc

EX. [image]

Term

 

 

 

 

Segment of a circle

Definition

The region of a circle bounded by an arc and a chord

 

EX. [image]

Term

 

 

 

 

Cone

Definition

A solid with a circular base, vertex not contained in the same plane as the base, and a lateral surface area composed of all points in the segment

 

EX. [image]

Term

 

 

 

Congruent solids

Definition

Two solids are congruent if the corrisponding angles are congruent, corresponding edges are congruent, and corresponding faces are congruent

 

EX.[image]

Term

 

 

 

 

Cylinder

Definition

A figure with bases that are formed by congruent circles in parallel planes

 

EX. [image]

Term

 

 

 

 

Hemisphere

Definition

 

 

One of the two congruent parts into which a great circle separates a sphere

 

EX. [image]

Term

 

 

 

 

Lateral Area

Definition

 

The area not including the bases

 

EX. [image]

Term

 

 

 

Lateral Faces

Definition

 

 

 

In a prism the faces that arent bases

 

EX.[image]

Term

 

 

 

 

Net

Definition

A two dimentional figure that when folded forms a three dimentional figure.

 

EX.[image]

 

Term

 

 

 

Oblique

Definition

 

 

3D figures that arent right

 

EX. [image]

Term

 

 

 

Altitude

Definition

A segment perpendicular to the bases with an endpoint in each plane

 

EX. [image]

Term

 

 

 

 

Bases

Definition

 

Flat planes that contain points and are perpendicular to the altitude.

 

EX. [image]

Term

 

 

 

Cube

Definition

 

A 3D figure with 6 congruent bases

 

EX. [image]

Term

 

 

 

Edges

Definition

 

 

A shape formed by 2 bases that intersect

 

EX. [image]

Term

 

 

 

Face

Definition

 

 

A flat surface on a shape

 

EX.[image]

Term

 

 

 

 

Great Circle

Definition

For a given sphere, the intersection of the sphere and a plane that contains the center of a sphere

 

EX. [image]

Term

 

 

 

 

Height

Definition

 

 

The length of an altitude in a figure

 

EX. [image]

Term

 

 

 

 

Platonic Solids

Definition

 

 

 

The five regular polyhedra

 

EX. [image]

Term

 

 

 

Dodecahedron

Definition

A polyhedron with 12 flat faces

 

EX. [image]

Term

 

 

 

Isosahedron

Definition

 

A polyhedron with 20 flat surfaces

 

EX.[image]

Term

 

 

 

 

Hexahedron

Definition

A polyhedron 6 flat faces

 

EX. [image]

Term

 

 

 

Octahedron

Definition

 

A polyhedron with 8 flat surfaces

 

EX.[image]

Term

 

 

 

 

Tetrahedron

Definition

 

A polyhedron with 4 trianglular faces

 

EX. [image]

Term

 

 

 

 

Polyhedron

Definition

 

Closed 3D figures mad up of flat polygonal regions called faces

 

EX. [image]

Term

 

 

 

Prism

Definition

 

A solid with two bases, lateral faces and lateral edges

 

EX. [image]

Term

 

 

 

Pyramid

Definition

A solid with all faces except one intersect at a common vertex, the other face is the base

 

EX. [image]

Term

 

 

 

 

Regular Prism

Definition

A right prism with bases that are regular polygons

EX. [image]

Term

 

 

 

Right Prism

Definition

 

 

A prism with lateral edges that are also altitudes

 

EX. [image]

Term

 

 

 

Similar Solids

Definition

 

Solids that have exactly the same shape, but not necessarily the same size

 

EX. [image]

Term

 

 

 

Slant Height

Definition

 

 

The distance from any part of a base to the vertex

 

EX. [image]

Term

 

 

 

Sphere

Definition

In space the set of all points that are given distance from a given point

 

EX. [image]

Term

 

 

 

Surface Area

Definition

The sum of the areas of all faces and sides surface of a 3D figure

 

EX. [image]

Term

 

 

 

 

Volume

Definition

A measure of the amount of space enclosed by a 3D figure

 

EX. [image]

Term

 

 

 

 

Center of Rotation

Definition

 

A fixed point around which shapes move in a circular motion to a new position

 

EX.[image]

Term

 

 

 

Column Matrix

Definition

 

 

A matrix containing one column often used to represent an ordered pair.

 

EX. [image]

Term

 

 

 

Center of Dilation

Definition

 

 

The new point at which shapes move to a dilation

 

EX.[image]

Term

 

 

 

Columns of a Matrix

Definition

 

 

The numbers going top to bottom of a matrix

 

EX. [image]

Term

 

 

 

Composition

Definition

 

 

Successive reflections in parallel lines

 

EX. [image]

Term

 

 

 

Dilation

Definition

 

A transformation determined by dividing by the scale factor

 

EX. [image]

Term

 

 

 

Identity Matrix

Definition

 

 

 

A scalar matrix in which all of the diagonal elements are unity

EX.[ 1 0 ]
     [ 0 1 ]

Term

 

 

 

Image

Definition

 

 

 

A picture

 

 

Term

 

 

 

Isometry

Definition

 

A mapping for which the original figure and its image are congruent

 

EX. [image]

Term

 

 

 

 

Mapping

Definition

 

 

 

a mathematical relation such that each element of a given set is associated with an element of another set

 

Term

 

 

 

Pre-Image

 

Definition

 

 

Original position of a figure in a plane

 

EX.[image]

Term

 

 

 

Reflection

Definition

A transformation representing a flip of the figure over a point, line, or plane

 

EX. [image]

Term

 

 

 

Reflection Matrix

Definition

 

 

A matrix that can be multiplied by the vertex matrix of a figure to find the coordinates of the reflected image

EX. [image]

Term

 

 

 

Rotation

Definition

 

A transformation that turns every point of a preimage through a specified angle and direction about a fixed point, called the center of rotation

 

EX. [image]

Term

 

 

 

Rotation Matrix

Definition

 

 

 

 

A matrix that can be multiplied by the vertex matrix of a figure to find the coordinates of the rotated image

 

 

Term

 

 

 

 

Row Matrix

Definition

 

 

 

The transpose of a row vector is a column vector

EX. [image]

Term

 

 

 

Scalar

 

 

Definition

 

A constant multiplied by a vector

 

EX. [image]

Term

 

 

 

 

Standard Matrix

 

Definition

 

 

When the initial point of a vector is at the origin

EX. [image]

Term

 

 

 

 

Translation

Definition

A transformation that moves all points of a figure the same distance in the same direction

EX. [image]

 

Term

 

 

 

Translation Matrix

Definition

 

 

 

A matrix that can be added to the vertex matrix of a figure to find the coordinates of the translated image

Term

 

 

 

Vertex Matrix

Definition
A matrix that represents a polygon by placing all of the column matrices of the coordinates of the vertices into one matrix

EX. [image]
Supporting users have an ad free experience!