CHSPE Geometry 3

Question 1

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

Accepted Answer

96 cm²

Answer

Surface area of a cube = 6s² = 6 × 16 = 96 cm².

Question 2

Two supplementary angles are in a ratio of 2:3. What is the measure of the larger angle?

Accepted Answer

108°

Answer

Supplementary angles sum to 180°; the larger is (3/5) × 180 = 108°.

Question 3

A line segment has endpoints at (1, 2) and (5, 6). What is its length?

Accepted Answer

5.66

Answer

Distance = √((5−1)² + (6−2)²) = √(16 + 16) = √32 ≈ 5.66.

Question 4

Which transformation preserves both shape and size of a figure?

Accepted Answer

Reflection

Answer

A reflection is a rigid transformation (isometry) that preserves shape and size.

Question 5

The volume of a cylinder with radius 3 in and height 7 in is approximately: (Use π ≈ 3.14)

Accepted Answer

197.8 in³

Answer

V = πr²h = 3.14 × 3² × 7 = 3.14 × 9 × 7 ≈ 197.8 in³.

California High School Proficiency Exam Practice Test