CHSPE Geometry 5 — Questions and Answers
Question 1: A cone has a radius of 5 cm and a height of 12 cm. What is its volume? (Use π ≈ 3.14)
- 314 cm³ (Correct answer)
- 942 cm³
- 628 cm³
- 1256 cm³
Correct answer: 314 cm³
V = (1/3)πr²h = (1/3) × 3.14 × 25 × 12 = 314 cm³.
Question 2: On a coordinate plane, which quadrant contains the point (−3, 5)?
- Quadrant I
- Quadrant II (Correct answer)
- Quadrant III
- Quadrant IV
Correct answer: Quadrant II
Negative x and positive y places the point in Quadrant II.
Question 3: A polygon has 8 sides. What is the sum of its interior angles?
- 900°
- 1080° (Correct answer)
- 1260°
- 720°
Correct answer: 1080°
Sum = (n − 2) × 180 = (8 − 2) × 180 = 6 × 180 = 1080°.
Question 4: What is the area of a trapezoid with parallel sides of 6 cm and 10 cm and a height of 4 cm?
- 32 cm² (Correct answer)
- 48 cm²
- 24 cm²
- 40 cm²
Correct answer: 32 cm²
Area = ½ × (b₁ + b₂) × h = ½ × (6 + 10) × 4 = 32 cm².
Question 5: A point is reflected across the x-axis. If the original point is (4, −3), what is the image?
- (−4, 3)
- (4, 3) (Correct answer)
- (−4, −3)
- (3, 4)
Correct answer: (4, 3)
Reflecting across the x-axis negates the y-coordinate: (4, −3) → (4, 3).
Question 6: Which pair of angles are formed on opposite sides of a transversal between two parallel lines and are inside the parallel lines?
- Corresponding angles
- Co-interior angles
- Alternate interior angles (Correct answer)
- Vertical angles
Correct answer: Alternate interior angles
Alternate interior angles are between the parallel lines and on opposite sides of the transversal.
Question 7: The perimeter of a regular pentagon is 45 cm. What is the length of one side?
- 5 cm
- 7 cm
- 9 cm (Correct answer)
- 11 cm
Correct answer: 9 cm
A regular pentagon has 5 equal sides; 45 ÷ 5 = 9 cm per side.
CHSPE Geometry 5
A cone has a radius of 5 cm and a height of 12 cm.
What is its volume? (Use π ≈ 3.14)