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