CAHSEE Measurement and Geometry 2 — Questions and Answers
Question 1: A rectangular swimming pool is 25 meters long and 10 meters wide. What is the perimeter of the pool?
- 35 meters
- 250 meters
- 70 meters (Correct answer)
- 60 meters
Correct answer: 70 meters
Perimeter of a rectangle = 2(length + width) = 2(25 + 10) = 2(35) = 70 meters.
Question 2: A triangle has sides measuring 7 cm, 7 cm, and 10 cm. What type of triangle is this?
- Equilateral
- Scalene
- Isosceles (Correct answer)
- Right
Correct answer: Isosceles
An isosceles triangle has exactly two sides of equal length, which matches 7 cm, 7 cm, and 10 cm.
Question 3: What is the volume of a rectangular box that is 5 inches long, 4 inches wide, and 3 inches tall?
- 47 cubic inches
- 60 cubic inches (Correct answer)
- 24 cubic inches
- 120 cubic inches
Correct answer: 60 cubic inches
Volume = length × width × height = 5 × 4 × 3 = 60 cubic inches.
Question 4: Two lines intersect forming angles. One angle measures 65°. What is the measure of the angle directly across from it (vertical angle)?
- 25°
- 115°
- 65° (Correct answer)
- 130°
Correct answer: 65°
Vertical angles are congruent (equal), so the opposite angle also measures 65°.
Question 5: A circle has a diameter of 14 cm. What is its circumference? (Use π ≈ 3.14)
- 43.96 cm (Correct answer)
- 21.98 cm
- 87.92 cm
- 153.86 cm
Correct answer: 43.96 cm
Circumference = π × diameter = 3.14 × 14 = 43.96 cm.
Question 6: On a coordinate plane, point A is at (2, 3) and point B is at (2, -5). What is the distance between them?
- 2 units
- 8 units (Correct answer)
- 6 units
- 10 units
Correct answer: 8 units
Since the x-coordinates are the same, the distance is |3 − (−5)| = |8| = 8 units.
Question 7: A trapezoid has bases of 8 cm and 12 cm and a height of 5 cm. What is its area?
- 50 cm² (Correct answer)
- 100 cm²
- 40 cm²
- 60 cm²
Correct answer: 50 cm²
Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = ½ × 100 = 50 cm².
CAHSEE Measurement and Geometry 2
A rectangular swimming pool is 25 meters long and 10 meters wide.
What is the perimeter of the pool?