CHSPE Geometry 3 — Questions and Answers
Question 1: What is the surface area of a cube with side length 4 cm?
- 64 cm²
- 96 cm² (Correct answer)
- 48 cm²
- 16 cm²
Correct answer: 96 cm²
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?
- 72°
- 108° (Correct answer)
- 90°
- 120°
Correct answer: 108°
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?
- 4
- 5.66 (Correct answer)
- 6
- 8
Correct answer: 5.66
Distance = √((5−1)² + (6−2)²) = √(16 + 16) = √32 ≈ 5.66.
Question 4: Which transformation preserves both shape and size of a figure?
- Dilation
- Reflection (Correct answer)
- Shear
- Stretching
Correct answer: Reflection
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)
- 131.9 in³
- 197.8 in³ (Correct answer)
- 65.9 in³
- 263.8 in³
Correct answer: 197.8 in³
V = πr²h = 3.14 × 3² × 7 = 3.14 × 9 × 7 ≈ 197.8 in³.
Question 6: Which of the following is NOT a property of a rhombus?
- All sides are equal
- Diagonals bisect each other
- All angles are right angles (Correct answer)
- Diagonals are perpendicular
Correct answer: All angles are right angles
A rhombus does not require right angles; a square is the special rhombus with right angles.
Question 7: If two triangles are similar, their corresponding sides are:
- Equal in length
- Proportional (Correct answer)
- Perpendicular
- Parallel
Correct answer: Proportional
Similar triangles have the same shape but not necessarily the same size, so sides are proportional.
CHSPE Geometry 3
What is the surface area of a cube with side length 4 cm?