Geometry Chapter 8

8-1

100

Find the sum of the measures of the interior angles of a 32-gon.

5400

200

The measure of an interior angle of a regular polygon is 170. Find the number of sides for the polygon.

36

300

Find the measures of each exterior angle and each interior angle for a regular octagon.

45, 135

400

Find the measure of each interior angle. Refer to picture 1.

angle M=30 angle P=120 angle Q=60 angle R=150

500

Find the measure of each interior angle. Refer to picture 2.

angle E=102 angle F=122 angle G=107 angle H=97 angle J=122

8-2

100

Find the measure of angle MJK. Refer to picture 3.

100

200

Find the measure of angle JML. Refer to picture 3.

80

300

Find a. Refer to picture 3.

7

400

Find b. Refer to picture 3.

21

500

In parallelogram ABCD, AB=2x+5, angle BAC=2y, angle B=120, angle CAD=21, and CD=21. Find x and y.

x=8 y=19.5

8-4

100

Find angle 2 if angle 1=30. Refer to picture 5.

60

200

Find angle 12 if angle 1=30. Refer to picture 5.

120

300

If NQ=5x-3 and QM=4x+6, find NK. Refer to picture 4.

84

400

If angle NKM=x^2+4 and angle KNM=x+30, find angle JKN. Refer to picture 4.

22 or 37

500

Determine whether DFGH is a rectangle given each set of vertices. D(-4, -3), F(-5, 8), G(6, 9), H(7, -2)

Yes

8-5

100

Refer to picture 6. Angle WYZ=53, VW=3, XV=8a-8, and ZV=5a+1. Find angle YZV.

37

200

Refer to picture 6. Angle WYZ=53, VW=3, XV=8a-8, and ZV=5a+1. Find XZ.

8

300

Refer to picture 6. Angle WYZ=53, VW=3, XV=8a-8, and ZV=5a+1. Find XW.

5

400

Given each set of vertices, determine if the parallelogram is a rhombus, rectangle, or square. List all that apply. E(1, 5) F(6,5) G(6, 10) H(1,10)

Rectangle, rhombus, square

500

Given each set of vertices, determine if the parallelogram is a rhombus, rectangle, or square. List all that apply. E(1, 10), F(-4, 0), G(7, 2), H(12, 12)

Rhombus

8-6

100

Find DE. Refer to picture 7.

8

200

Find VT. Refer to picture 8.

4

300

For isosceles trapezoid XYZW, find the length of the median, angle W, and angle Z. Refer to picture 9.

14, 110, 110

400

For trapezoid QRST, A and B are midpoints of the legs. Find AB, angle Q, and angle S. Refer to picture 10.

16, 60, 135

500

a. Verify that the quadrilateral is a trapezoid, b. determine whether the figure is an isosceles trapezoid C(-1, 1), D(-5, -3), E(-4, -10), F(6, 0)

isosceles