Geometry Test

Find the values of the variables in the parallelogram. The diagram is not to scale.

• x = 53, y = 31, z = 96

• x = 53, y = 53, z = 127

• x = 31, y = 53, z = 96

• x = 31, y = 53, z = 127

• 9

• 16

• 164

• 174

In parallelogram DEFG, DH=x+2, HF = 2y, GH = 4x–3 , and HE = 5y+1. Find the values of x and y. The diagram is not to scale.

• x = 8, y = 5

• x = 5, y = 8

• x = 4, y = 6

• x = 6, y = 4

LMNO is a parallelogram. If NM = x+5 and OL = 2x+3, find the value of x and then find NM and OL.

• x = 4, NM = 9, OL = 9

• x = 2, NM = 7, OL = 7

• x = 2, NM = 9, OL = 7

• x = 4, NM = 7, OL = 9

If this is a right triangle, find the measure of x to the nearest hundredth.

• 42°

• 41.98°

• 41.99°

• 45°

Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale.

• x = 8, y = 6

• x = 6, y = 8

• x = 8, y = 17

• x = 8, y = 10

• x = 12, y = 84, z = 6

• x = 12, y = 174, z = 3

• x = 6, y = 84, z = 3

• x = 6, y = 174, z = 6

Find the values of a and b. The diagram is not to scale.

• a = 115, b = 71

• a = 115, b = 65

• a = 109, b = 71

• a = 109, b = 65

Line LM is a midsegment of trapezoid ABCD. AB = x + 8, LM = 4x + 3, and DC = 243. What is the value of x?

• 43

• 35

• 286

• 39

Which of the following properties is always true for a parallelogram?

• Diagonals bisect each other.

• Diagonals are perpendicular.

• Diagonals are congruent.

• Diagonals bisect opposite angles.