Bluebook SAT Test Lines, Angles, and Triangles 9

Question 1

In triangle ABC, side AB = 7, BC = 24, and angle B = 90°. What is the length of AC?

Accepted Answer

25

Answer

17

Answer

√575

Answer

31

Question 2

Two angles of a triangle are 54° and 78°. A line is drawn from the third vertex perpendicular to the opposite side. What is the measure of the third angle of the triangle?

Accepted Answer

48°

Answer

42°

Answer

52°

Answer

36°

Question 3

Parallel lines r and s are cut by a transversal. A co-interior angle on line r measures (6x + 5)° and the co-interior angle on line s measures (4x + 15)°. What is x?

Accepted Answer

16

Answer

18

Answer

14

Answer

20

Question 4

An angle bisector divides a 136° angle into two equal parts. What is the measure of each part?

Accepted Answer

68°

Answer

44°

Answer

56°

Answer

90°

Question 5

Triangle XYZ is similar to triangle PQR. If XY = 12, YZ = 16, and PQ = 9, what is QR?

Accepted Answer

12

Answer

16

Answer

8

Answer

10

Question 6

Lines m and n are parallel. A transversal creates an angle of 117° on line m. What is the measure of the alternate interior angle on line n?

Accepted Answer

117°

Answer

63°

Answer

73°

Answer

107°

Question 7

In a right triangle, the two acute angles are in the ratio 1:5. What is the measure of the larger acute angle?

Accepted Answer

75°

Answer

60°

Answer

80°

Answer

65°