Geometry Exam Practice Questions

m∠LJK = 57° and m∠LJI = 20°. Find m∠IJK.

• 7°

• 77°

• 37°

• 20°

Find the length of CD using the segment addition postulate.

• 78

• 27

• 105

• 35

K is the midpoint of JL, JK = 6x and KL = 3x + 3. Solve for JK, KL, and JL. (Draw a line segment, find x, then the segments)

• JK = 1, KL = 1, JL = 2

• JK = 6, KL = 6, JL = 12

• JK = 12, KL = 12, JL = 6

• JK = 18, KL = 18, JL = 36

Two angles that measure 31.1 and 148.9 degrees are considered as

• Complementary

• Congruent

• Supplementary

• Vertical

Are O, N, and P collinear? If so, Name the line on which they lie.

• No, the three points are not collinear.

• Yes, they lie on the line MP.

• Yes, they lie on the line NP.

• Yes, they lie on the line MO.

∠1 and ∠2 are a linear pair. m∠1 = x - 39, and m∠2 = x + 61. Find the measure of each angle. (find x first)

• ∠1 = 79, ∠2 = 101

• ∠1 = 40, ∠2 = 140

• ∠1 = 40, ∠2 = 150

• ∠1 = 79, ∠2 = 111

Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.

• 11

• 7.8

• 61

• 14.9

Given ΔABC ≅ ΔPQR, m∠B = 3x + 4, and m∠Q = 8x - 6, find x.

• 22

• 2

• 10

• 25

Determine the length of the missing side. Leave your answer in simplest radical form.

• √17 m

• √113 m

• 113 m

• √71 m

A triangle has sides of lengths 6, 8, and 10. Determine if the triangle is a right triangle? Explain.

• yes; 6² + 8² ≠ 10²

• no; 6² + 8² = 10²

• no; 6² + 8² ≠ 10²

• yes; 6² + 8² = 10²