College Math Placement Test Geometry 5

Question 1

Two supplementary angles are in the ratio 2:7. What is the measure of the larger angle?

Accepted Answer

140°

Answer

2x + 7x = 180° → 9x = 180° → x = 20°; larger angle = 7(20°) = 140°.

Question 2

A square is inscribed in a circle of radius 5. What is the area of the square?

Accepted Answer

50

Answer

The diagonal of the square equals the diameter = 10; side = 10/√2 = 5√2; area = (5√2)² = 50.

Question 3

What is the slope of a line perpendicular to the line passing through (1, 3) and (4, 9)?

Accepted Answer

−1/2

Answer

Slope of given line = (9−3)/(4−1) = 2; perpendicular slope = −1/2.

Question 4

A triangle has vertices at (0,0), (6,0), and (0,8). What is its area?

Accepted Answer

24

Answer

Area = ½ × base × height = ½ × 6 × 8 = 24.

Question 5

The diagonal of a square is 12√2. What is the perimeter of the square?

Accepted Answer

48

Answer

Side = diagonal/√2 = 12√2/√2 = 12; perimeter = 4 × 12 = 48.

College Math Placement Test Practice Test