CAHSEE Measurement and Geometry 4 — Questions and Answers
Question 1: A square has a perimeter of 48 cm. What is its area?
- 144 cm² (Correct answer)
- 24 cm²
- 192 cm²
- 96 cm²
Correct answer: 144 cm²
Each side = 48 ÷ 4 = 12 cm; Area = 12² = 144 cm².
Question 2: In coordinate geometry, what is the midpoint of the segment connecting (−4, 2) and (6, −8)?
- (2, −6)
- (1, −3) (Correct answer)
- (−1, 3)
- (5, −5)
Correct answer: (1, −3)
Midpoint = ((−4+6)/2, (2+(−8))/2) = (2/2, −6/2) = (1, −3).
Question 3: A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π ≈ 3.14)
- 452.16 cm³
- 150.72 cm³ (Correct answer)
- 113.04 cm³
- 301.44 cm³
Correct answer: 150.72 cm³
Volume of a cone = (1/3)πr²h = (1/3)(3.14)(16)(9) = (1/3)(452.16) = 150.72 cm³.
Question 4: An angle measures 128°. What is the measure of its complement?
- 52°
- 62°
- 232°
- Complementary angles cannot be formed (Correct answer)
Correct answer: Complementary angles cannot be formed
Complementary angles must sum to 90°, but 128° > 90°, so no complement exists.
Question 5: A map has a scale of 2 cm : 50 km. Two cities are 7 cm apart on the map. What is the actual distance between them?
- 175 km (Correct answer)
- 14 km
- 100 km
- 350 km
Correct answer: 175 km
Each cm represents 25 km, so 7 cm × 25 km/cm = 175 km.
Question 6: Which of the following figures has exactly one pair of parallel sides?
- Rectangle
- Rhombus
- Trapezoid (Correct answer)
- Parallelogram
Correct answer: Trapezoid
A trapezoid has exactly one pair of parallel sides, unlike parallelograms which have two pairs.
Question 7: A right angle is bisected. What is the measure of each resulting angle?
- 90°
- 60°
- 30°
- 45° (Correct answer)
Correct answer: 45°
A right angle measures 90°; bisecting it creates two equal angles of 90° ÷ 2 = 45° each.
CAHSEE Measurement and Geometry 4
A square has a perimeter of 48 cm.
What is its area?