Chapter 8 Test Review

Quadrilaterals

The sum of the measures of the interior angles of a convex regular polygon is 1080°.

Classify the polygon by the number of sides.

Octagon (8 sides)

What is the measure of each interior angle of a regular

octagon?

1080 8 =

135°

What is the most specific name for the polygon?

Rhombus

Find the value of x.

x°

120°

97°

130°

150°

x + 120 + 97 + 130 + 150 + 90 = (6-4)(180)

x = 133

Find the value of x.

8x°

5x°

5x°

8x + 5x + 5x = 360

x = 20

Find the value of m and n in the parallelogram.

108

m n - 3

m = 10n – 3 = 8

n = 11

What is the most specific name for the polygon?

Square

What value of x makes the quadrilateral a parallelogram?

2x + 4

x + 9

2x + 4 = x + 9

x = 5

Find the values of x and y.

y°21°

x°

x = 69

y = 21

Find the values of x and y.3x + 4

4x - 5

4y 6y - 10

3x + 4 = 4x – 5

x = 9

4y = 6y – 10

y = 5

What value of x makes the quadrilateral a parallelogram?

3x + 2

5x - 4

3x + 2 = 5x – 4

x = 3

What is the most specific name for the polygon?

Parallelogram

Find the value of x.

x°

160°

2x° 125°

110°

112° 147°

x + 160 + 2x + 125 + 110 + 112 + 147 = (7-2)(180)

x = 82

Find the values of c and d in the parallelogram.

d + 4 c + 5

11 14

c + 5 = 11

c = 6

d + 4 = 14

d = 10

Find the values of a and b in the parallelogram.

(b + 16)°

103°

18

a - 10

b + 16 = 103

b = 87

a -10 = 18

a = 28

In a regular nonagon, the exterior angles are all

congruent. What is the measure of one of the exterior

angles?

9x = 360

x = 40°

ABCD is a kite.Find mB and mD.

A

B

C

D

20°

90 + 20 + x + x = 360

mB = mD = 125°

What is the most specific name for the polygon?

Quadrilateral RSTU has R, T, and U as right

angles. RS = ST.

Square

Find JH.

F G

H J

D E

19 in

16.5 in

(JH + 19) 2 = 16.5

JH = 14 in

DEFG is a trapezoid.Find mG and mE.

D E

FG

110°

25°

mG = 70°

mE = 155°