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| names a location in space and has no size. determined by 2 points or 1 letter |
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| a straight path that has no thickness and extends forever |
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a flat surface that has no thickness and extends forever.
determined by 2 points or 1 letter |
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| points that lie on the same line |
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| points that lie on the same plane |
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| lines that are not coplanar |
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part of a line consisting of 2 endpoints and all points between them.
detrmined by 2 points |
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a part of a line that starts at an endpoint and extends forever in one direction
determined by 2 points, the endpoint is listed first |
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a figure formed by 2 rays with a common endpoint
determined by 2 points, the endpoint is listed first |
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| the common endpoint of the sides of an angle |
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| 2 angles in the same plane with a common vertex and a common side |
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| 2 angles whose measures have a sum of 90° |
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| 2 angles whose measures have a sum of 180° |
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| a pair of adjacent angles that form a line (opposite rays) |
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| nonadjacent congruent angles formed by 2 intersecting lines |
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| an angle measuring less that 90 degrees |
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| an angle measuring 90 degrees |
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| an angle measuring more that 90 degrees, but less than 180 degrees |
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| the point that divides a segment into 2 congruent segments |
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| to divide into 2 congruent parts |
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| a transformation of a figure that forms 2 congruent parts of the figure |
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| 2 figures that have the same shape, but not necessarily the same size, denoted by ≈ |
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| having the same size and shape, denoted by |
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| 2 lines in the same plane that do not intersect, denoted by ǁ |
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| 2 lines intersecting to form 90° angles, denoted by ┴ |
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| 3-D objct with 6 square faces |
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| 3-D figure with two bases that are cirlce. |
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| 3-D figure with both bases having the same shape |
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| a 3-D figure that has triangular faces |
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| 3-D figure that is in a shape of a round ball |
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| A polyhedron is formed by 4 or more polygons that intersect only at their edges. Prisms and pyramids are polyhedrons, but cylinders and cones are not. |
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| the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex |
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| a 2-D version of a 3-D figure |
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| An orthographic drawing shows different views of an object: top, bottom, front, back, left side and right side |
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| An isometric drawing is a way to show three sides of a figure from a corner view. You can use dot paper to help draw the figure. |
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| a 3-D figure with circle as its shape and triangle as a vertex |
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| is the process of looking for a pattern and drawing conclusions about a statement |
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| A statement you believe to be true based on inductive reasoning |
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| proves that a conjecture is false |
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| is written in the form "if p, then q". The "if" statement is the hypothesis, the "then" statement is the conclusion |
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| You will determine if the statement is true or false |
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is formed by exchanging the hypothesis and conclusion of a conditional statement.
"if q, then p" |
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is formed by negating the hypothesis and the conclusion.
" if not p, then not q |
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is the statement formed by exchanging (converse) and negating the new hypothesis and conclusion.
" if not q, then not p |
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| is the process of using logic to draw conclusions from given facts, definitions and properties |
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combines a conditional statement and its converse. "p if and only if q"
also can be written as "p iff q |
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| is a statement that describes a mathematical object and can be written as a true biconditional |
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| The midpoint is the point exactly between two points |
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| The midpoint is the point exactly between two points |
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| The distance formula is used to find the length of a segment or the distance between two points |
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| - lines that are coplanar and do not intersect |
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| these lines are not coplanar and do not intersect, but are not parallel |
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| planes that do not intersect |
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| lines that intersect at 90° angles |
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| If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent |
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| Alternate Interior Angles |
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| If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent |
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| Alternate Exterior Angles |
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| If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent |
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| Same-side Interior Angles |
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| If two parallel lines are cut by a transversal, then the pairs of same-side interior angles are supplementary |
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| A triangle with 3 acute angles |
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| A triangle with a right angle |
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| a triangle with one obtuse angle |
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| A triangle with 3 congruent angles (60° each |
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| A triangle with at least 2 congruent sides |
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| A triangle with no congruent sides |
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| The circumcenter of a triangle is formed by finding the perpendicular bisector of each side |
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| The incenter of a triangle is formed by finding the angle bisector of each angle |
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| The centroid of a triangle is formed by finding the medians of the triangle A median is a segment whose endpoints are a vertex and the midpoint of the opposite side. |
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| The orthocenter of a triangle is formed by finding the altitudes of the triangle. An altitude is a perpendicular segment from the vertex to the opposide side. |
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| A midsegment of a triangle is parallel to a side and its length is 1/2 the length of that side |
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| If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent. |
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| If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the triangles are congruent. |
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| Angle-Angle-Side (AAS) or Side-Angle-Angle (SAA) |
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| If 2 angles and a nonincluded side of one triangle are congruent to the corresponding angles and nonincluded side of another triangle, then the triangles are congruent. |
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| If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent |
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| Angle-Angle (AA) or Angle-Angle-Angle (AAA) |
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| If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar. |
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| If the 3 sides of one triangle are proportional to the 3 corresponding sides of another triangle, then the triangles are similar |
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| If 2 sides of one triangle are proportional to 2 sides of another triangle and their included angles are congruent, then the triangles are similar. |
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| This does not work to prove similarity, think of it as a swinging gate. The 2 sides do not lock in the measure of the angle, unless it is included between them. |
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| Indirect measurement is any method that uses formulas, similar figures and/or proportions to measure an object. |
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| A scale drawing represents an object as smaller than or larger than its actual size. The scale is the ratio of a length in the drawing to the corresponding actual length. |
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| same angles,propotional sides |
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| the realationship of 2 simalr polygons |
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| proportional sides and same angles |
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| the buliding of a object. |
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| the measuerement of one place to another |
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| the point were three or more lines intersect |
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| coungruent parts of a triangle are congruent. |
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| the steepness or incline if a line |
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1. Is a quadrilateral, properties above apply.
2. Both sets of opposite sides are parallel.
3. Both sets of opposite sides are congruent.
4. Both sets of opposite angles are congruent.
5. All sets of consecutive angles are supplementary
6. The diagonals bisect each other. |
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1. Is a quadrilateral, properties above apply.
2. Is a parallelogram, properties above apply.
3. All sides are congruent.
4. The diagonals are perpendicular.
5. The diagonals are angle bisectors. |
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. Is a quadrilateral, properties above apply.
2. Is a parallelogram, rectangle, rhombus; properties above apply |
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. Is a quadrilateral, properties above apply.
2. Is a parallelogram, rectangle, rhombus; properties above apply |
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| a prism with six spuare faces |
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| A 2d figure that is rounded shape |
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| a segment whose endpoints lie on the circle |
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| a segment whose endpoints are the center and point on the circle, it is ½ the diameter |
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| a line that intersects a circle at two points |
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| a line in the same plane as a circle that intersects it at exactly one point |
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| Concentric circles are coplanar circles with the same center. |
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| Tangent circles are two coplanar circles that intersect at exactly one point |
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| A common tangent is a line that is tangent to two circles |
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| An arc consists of two points called the endpoints and all the points on the circle between them |
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