# 8 04 geometry unit exam 1

Question 1

The opposite angles of a parallelogram are congruent.

TRUE

FALSE

2 points

Question 2

In a rectangle, the opposite sides are congruent.

TRUE

FALSE

2 points

Question 3

If a parallelogram is a rectangle then the diagonals are congruent.

TRUE

FALSE

2 points

Question 4

The following is a rhombus, therefore

TRUE

FALSE

2 points

Question 5

If a quadrilateral is a kite, then its diagonals bisect each other.

TRUE

FALSE

2 points

Question 6

ABCD is a parallelogram. If AE is equal to and EC is equal to b – 15, find the measure of AE.

Question 7

The diagonals of rhombus FGHJ intersect at point K. If side GK is equal to 3x – 5 and side JK is equal to 4x – 8, find x.

Question 8

A rectangle ABCD has the following sides. Find x and y.

Question 9

ABCD is a parallelogram. If angle B is equal to (2x)Â° and angle A is equal to (-x + 120)Â°, find x.

Question 10

ABCD is a parallelogram. If AB is equal to 2x + 1 and CD is equal to x + 13, find x.

Question 11

Triangle ABC and DEF are congruent. Find x.

Question 12

Triangle ABC is congruent to triangle DFE. Find x.

Question 13

Triangle RSV is congruent to triangle TVS. Find x and y.

Question 14

Triangle ABC is congruent to triangle DFE. Find x.

Question 15

Triangles QVS and RTS are similar. Find side VS.

Question 16

Triangles WSR and TVR are similar. Find x.

Question 17

Triangle ABE is similar to triangle ACD. Find y.

Question 18

Triangles MOP and MNQ are similar. Find x.

Question 19

Find x.

Question 20

Find x.

Question 21

Point C is the center of the circle. Angle ACB measures What is the measure of arc AB?

Question 22

Point C is the center of the circle. What is the measure of angle ACB if arc ADB measures ?

Question 23

Point C is the center of the circle. What is the measure of arc AB if ACB is equal to ?

Question 24

Point C is the center of the circle. What is the measure of arc ADB if ACB is equal to ?

Question 25

Angle C is an inscribed angle of circle P. Angle C measures and arc AB measures (-8x) . Find x.

Question 26

Point C is the center of the circle. If angle ACB measures and AB measures (x + 13) , find x.

Question 27

Circles M and K are congruent, is congruent to . Find the length of .

Question 28

Circles M and K are congruent, is congruent to and is congruent to . Find x and y.

Question 29

Circles M and K are congruent, is congruent to and is congruent to . Find x and y.

Question 30

Circles M and K are congruent, is congruent to and is congruent to . Find x and y.

Question 31

Find the if angle A is equal to and measures .

Question 32

and are tangent to circle D. Find x if = and = 7. Find x.

Question 33

and are tangent to circle D. Find x if = -x + 6 and = 3x + 1. Find x.

Question 34

Find x.

Question 35

Find angle A if is equal to and is equal to .

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