theorems and stuff chapter 6 Flashcards Preview

math eighth grade > theorems and stuff chapter 6 > Flashcards

Flashcards in theorems and stuff chapter 6 Deck (20):
1

polygon angle sum thm

the sum of the interior angle measures of a convex polygon with n sides is (n-2)180

2

polygon exterior angle sum thm

the sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360

3

if a quadrilateral is a parallelogram then...

1. opposite sides are congruent
2. opposite angles are congruent
3. consecutive angles are supplementary
4.diagonals bisect one another

4

if one pair of opposite sides of a quadrilateral are parallel and congruent then...

it is a parallelogram

5

if both pairs of opposite sides of a quadrilateral are congruent then....

it is a parallelogram

6

if both pairs of opposite angles of a quadrilateral are congruent then...

it is a parallelogram

7

if an angle of a quadrilateral is supplementary to both of its consecutive angles then...

it is a parallelogram

8

if the diagonals of a parallelogram bisect each other then...

it is a parallelogram

9

if a quadrilateral is a rectangle then....

it is a parallelogram
its diagonals are congruent

10

if a quadrilateral is a rhombus then...

it is a parallelogram
it is a parallelogram
its diagonals are perp

11

if a parallelogram is a rhombus then...

each diagonal bisects a pair of opposite angles

12

if one angle of a parallelogram is a right angle then...

the parallelogram is a rectangle

13

if the diagonals of a parallelogram are congruent, then...

the parallelogram is a rectangle

14

if one pair of consecutive sides of a parallelogram are congruent, then...

the parallelogram is a rhombus

15

if the diagonals of a parallelogram are perp then...

the parallelogram is a rhombus

16

if one diagonal of a parallelogram bisects a pair of opposite angles then...

the parallelogram is a rhombus

17

if a quadrilateral is a kite then...

its diagonals are perp
one pair of opposite angles are congruent

18

if a quadrilateral is an isosceles trapezoid then...

each pair of the base angles are congruent

19

a trapezoid is isosceles if and only if

its diagonals are congruent

20

trapezoid midsegment thm

the midsegment of a trapezoid is parallel to each base, and its length is 1/2 the sum of the lengths of he bases