Geometry Chapter 8
About this set
Created by:
Selena53 on February 28, 2011
Subjects:
geo, geometry, chapter 8, chapter, quadrilaterals, mcdougal, holt, holt mcdougal, larson, larson geometry
Classes:
Quest Academy 8th Grade Flashcards
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24 terms
Terms | Definitions |
|---|---|
 Polygon Interior Angles Theorem | The sum of the measures of the interior angles of a convex n-gon is (n-2) × 180°. |
| Interior Angles of a Quadrilateral | The sum of the measures of the interior angles of a quadrilateral is 360°. |
| Polygon Exterior Angles Theorem | The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360°. |
| Congruent Opposite Sides in a Parallelogram Theorem | If a quadrilateral is a parallelogram, then its opposite sides are congruent. |
| Congruent Opposite Angles in a Parallelogram Theorem | If a quadrilateral is a parallelogram, then its opposite angles are congruent. |
| Supplementary Consecutive Angles in a Parallelogram Theorem | If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. |
| Bisecting Diagonals in a Parallelogram Theorem | If a quadrilateral is a parallelogram, then its diagonals bisect each other. |
| Congruent Opposite Sides in a Parallelogram Converse | If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |
| Congruent Opposite Angles in a Parallelogram Converse | If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |
| Congruent & Parallel Opposite Side Pair in a Parallelogram Theorem | If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. |
| Bisecting Diagonals in a Parallelogram Converse | If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. |
| Rhombus Corollary | A quadrilateral is a rhombus if and only if it has four congruent sides. |
| Rectangle Corollary | A quadrilateral is a rectangle if and only if it has four right angles. |
| Square Corollary | A quadrilateral is a square if and only if it is a rhombus (4 congruent sides) and a rectangle (4 right angles). |
| Perpendicular Diagonals in a Rhombus Theorem | A parallelogram is a rhombus if and only if it's diagonals are perpendicular. |
| Angle Bisecting Diagonals in a Rhombus Theorem | A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles. |
| Congruent Diagonals in a Rectangle Theorem | A parallelogram is a rectangle if and only if its diagonals are congruent. |
| Congruent Base Angle Pairs in an Isosceles Trapezoid Theorem | If a trapezoid is isosceles, then each pair of base angles is congruent. |
| Congruent Base Angle Pairs in an Isosceles Trapezoid Converse | If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid. |
| Congruent Diagonals in an Isosceles Trapezoid Theorem | A trapezoid is isosceles if and only if its diagonals are congruent. |
| Midsegment Theorem for Trapezoids | The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases. |
| Perpendicular Diagonals in a Kite Theorem | If a quadrilateral is a kite, then its diagonals are perpendicular. |
| Congruent Opposite Angle Pair in a Kite Theorem | If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent. |
| Parallel Sides Opposite Congruent 1 Parallel and Congruent Diagonals Bisect | Ways to Prove Quadrilateral is a Parallelogram (P.S. the OC is DiaBolical and it is on at five Pacific standard time on a Clock) (caps letters stand for ways to prove) |
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