CHSPE Mathematics - Measurement and Geometry 2 — Questions and Answers
Question 1: What is the area of a triangle with a base of 14 cm and a height of 9 cm?
- 63 square cm (Correct answer)
- 126 square cm
- 46 square cm
- 23 square cm
Correct answer: 63 square cm
Area of a triangle = ½ × base × height = ½ × 14 × 9 = 63 square cm.
Question 2: Two triangles are similar. The sides of the smaller triangle are 3, 4, and 5. If the longest side of the larger triangle is 15, what is the scale factor?
- 3 (Correct answer)
- 5
- 4
- 2
Correct answer: 3
The scale factor is 15 ÷ 5 = 3, meaning each side of the larger triangle is 3 times the corresponding side of the smaller triangle.
Question 3: A point is located at (3, -4) on a coordinate plane. In which quadrant does this point lie?
- Quadrant IV (Correct answer)
- Quadrant I
- Quadrant II
- Quadrant III
Correct answer: Quadrant IV
Quadrant IV contains points where x is positive and y is negative, which matches (3, -4).
Question 4: A figure is reflected across the y-axis. If the original point was at (5, 2), where is the reflected point?
- (-5, 2) (Correct answer)
- (5, -2)
- (-5, -2)
- (2, 5)
Correct answer: (-5, 2)
Reflecting across the y-axis negates the x-coordinate while keeping the y-coordinate the same, giving (-5, 2).
Question 5: Two parallel lines are cut by a transversal. If one interior angle measures 65°, what is the measure of its co-interior (same-side interior) angle?
- 115° (Correct answer)
- 65°
- 25°
- 180°
Correct answer: 115°
Co-interior angles (also called consecutive interior angles) are supplementary and sum to 180°, so 180° − 65° = 115°.
Question 6: What is the surface area of a cube with a side length of 4 cm?
- 96 square cm (Correct answer)
- 64 square cm
- 24 square cm
- 48 square cm
Correct answer: 96 square cm
A cube has 6 faces; each face has area 4² = 16 cm², so total surface area = 6 × 16 = 96 square cm.
Question 7: Angle A and Angle B are vertical angles. If Angle A measures 72°, what is the measure of Angle B?
- 72° (Correct answer)
- 108°
- 18°
- 36°
Correct answer: 72°
Vertical angles are always congruent (equal in measure), so Angle B = 72°.
CHSPE Mathematics - Measurement and Geometry 2
What is the area of a triangle with a base of 14 cm and a height of 9 cm?