MPT Geometry 3

Question 1

In a 30-60-90 triangle, the shortest leg has length 5. What is the length of the hypotenuse?

Accepted Answer

10

Answer

5√3

Answer

5√2

Answer

15

Question 2

In a 45-45-90 triangle, one leg has length 7. What is the length of the hypotenuse?

Accepted Answer

7√2

Answer

14

Answer

7√3

Answer

7/√2

Question 3

What is the surface area of a cube with side length 4?

Accepted Answer

96

Answer

64

Answer

48

Answer

24

Question 4

A sector of a circle has a central angle of 90° and radius 8. What is the arc length? (Use π ≈ 3.14)

Accepted Answer

12.56

Answer

25.12

Answer

50.24

Answer

6.28

Question 5

Two parallel lines are cut by a transversal. One pair of alternate interior angles measures (3x + 10)° and (5x − 20)°. What is x?

Accepted Answer

15

Answer

10

Answer

20

Answer

5

Question 6

What is the volume of a cylinder with radius 3 and height 5? (Use π ≈ 3.14)

Accepted Answer

141.3

Answer

47.1

Answer

282.6

Answer

94.2

Question 7

A line passes through the origin with slope 2. Which equation represents this line?

Accepted Answer

y = 2x

Answer

y = x + 2

Answer

y = 2x + 2

Answer

2y = x