CAHSEE Measurement and Geometry 3

Question 1

A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

Accepted Answer

10

Answer

Using the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100, so c = 10.

Question 2

A scale drawing uses a scale of 1 inch = 20 feet. If a hallway is 3.5 inches long on the drawing, how long is the actual hallway?

Accepted Answer

70 feet

Answer

Actual length = 3.5 × 20 = 70 feet.

Question 3

Which of the following correctly describes supplementary angles?

Accepted Answer

Two angles that sum to 180°

Answer

Supplementary angles are two angles whose measures add up to 180°.

Question 4

A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

282.6 cm³

Answer

Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 cm³.

Question 5

Triangle PQR is similar to triangle STU. The sides of PQR are 3, 4, and 5. If the shortest side of STU is 9, what is the longest side of STU?

Accepted Answer

15

Answer

The scale factor is 9 ÷ 3 = 3, so the longest side is 5 × 3 = 15.

CAHSEE - California High School Exit Examination Practice Test