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- Crestview High School
- Geometry Honors 1
- Melvin
- Geometry Chapter 8 Vocabulary

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Polygon Interior Angles Theorm

the sum of the interior angles of a polygon equals (n-2)180 where n is the number of sides.

Corollary to Theorm 8.1

the sum of the interior angles of a quadrilateral is 360.

Convex Polygons

a polygon whose sides do not contain any points inside the polygon.

Polygon Exterior Angles Theorm

the sum of the measures of exterior angles of a CONVEX polygon, one angle at each vertex, is 360.

Parallelogram

quadrilateral with both pairs of opposite sides parallel to each other.

Theorm 8.4

If PQRS is a parallelogram, then <P is congruent to <R & <Q is congruent to <S.

Theorm 8.5

If PQRS is a parallelogram, then its consecutive angles are supplementary.

Theorm 8.6

If a quadrilateral is a parallelogram, then its diagonols bisect each other.

Theorm 8.3

If a quadrilateral is a parallelogram, then PQ is congruent to RS & QR is congruent to PS.

Diagonal of a Polygon

a segment that joins two nonconsecutive verticies.

Theorm 8.7

If both pairs of opposite SIDES of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Theorm 8.8

If both pairs of opposite ANGLES of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Theorm 8.9

If one pair of opposlite sides of a quadrilateral are congruent & parallel, then the quadrilateral is a parallelogram.

Theorm 8.10

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Rhombus

parallelogram with 4 congruent sides.

Rhombus Corollary

a quadrilateral is a rhombus if and only if it has 4 congruent sides.

Theorm 8.11

a parallelogram is a rhombus if and only if its diagonols are perpendicular.

Theorm 8.12

a parallelogram is a rhombus if and onl if each diagonol bisects a pair of opposite sides.

Rectangle

parallelogram with 4 right angles.

Rectangle Corollary

a quadrilateral is a rectangle if and only if it has four right angles.

Theorm 8.13

a parallelogram is a rectangle if and only if its diagonols are congruent.

Square

parallelogram with 4 congruent sides and 4 right angles.

Square Corollary

a quadrilateral is a square if and only if it's a rhombus and a rectangle.

About this deck

Author: Lexi A.

Created: 2011-03-09

Updated: 2011-07-11

Size: 23 flashcards

Keywords: flash card flashcards digital flashcards note sharing notes textbook wiki college dorm class classroom exam homework test quiz university college education learn student teachers tutors share, study blue studyblue studyblu

Views: 58

Created: 2011-03-09

Updated: 2011-07-11

Size: 23 flashcards

Keywords: flash card flashcards digital flashcards note sharing notes textbook wiki college dorm class classroom exam homework test quiz university college education learn student teachers tutors share, study blue studyblue studyblu

Views: 58

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