Trapezoids/Kites Review

Find the measure of the angle indicated.

• A

• B

• C

• D

Answer explanation

Angle E = Angle D

Find the measure of the angle indicated.

• A

• B

• C

• D

Answer explanation

Angles X and Y are supplementary (total 180 degrees).

180 - 73 = 107

Find the length of the diagonal indicated.

• A

• B

• C

• D

Answer explanation

The diagonals are equal.

VX = WY

Find the length of the median.

• A

• B

• C

• D

Answer explanation

Add the bases and divide by 2.

(8.5 + 19.5) divided by 2 = 14

Find the length of the base.

• A

• B

• C

• D

Answer explanation

(midsegment x 2) - base

(33 x 2) - 42 = 24

Solve for x.

• A

• B

• C

• D

Answer explanation

Angle G = Angle F

33x - 4 = 95

x = 3

Solve for x.

• A

• B

• C

• D

Answer explanation

Angle M + Angle N = 180 degrees

15x - 10 + 85 = 180

15x + 75 = 180

x = 7

Find the measure indicated.

• A

• B

• C

• D

Answer explanation

Angle Q = Angle S

Subtract all angles known from 360 (there are 360 degrees total in a kite).

360 - 105 - 105 - 72 = 78

Find the measure indicated.

• A

• B

• C

• D

Answer explanation

Angle C = Angle E

Since both Angles C and E are unknown, subtract known angles from 360 and divide that answer by 2 to split it between those 2 equal angles.

360 - 62 - 78 = 220

220 divided by 2 = 110

Find the measure indicated.

• A

• B

• C

• D

Answer explanation

Angle G = Angle E