SHSAT SHSAT Geometry 2 — Questions and Answers
Question 1: A right triangle has legs of length 3 and 4. What is the hypotenuse?
- 5 (Correct answer)
- 6
- 7
- 8
Correct answer: 5
Using the Pythagorean theorem: 3² + 4² = 9 + 16 = 25, and √25 = 5.
Question 2: What is the area of a triangle with base 10 and height 6?
- 60
- 30 (Correct answer)
- 16
- 20
Correct answer: 30
Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30.
Question 3: An angle measuring exactly 90° is called a:
- Acute angle
- Obtuse angle
- Right angle (Correct answer)
- Straight angle
Correct answer: Right angle
A right angle measures exactly 90° and is often marked with a small square symbol.
Question 4: What is the volume of a rectangular prism with length 4, width 3, and height 5?
- 60 (Correct answer)
- 35
- 47
- 24
Correct answer: 60
Volume = length × width × height = 4 × 3 × 5 = 60.
Question 5: Two angles that add up to 90° are called:
- Supplementary
- Vertical
- Complementary (Correct answer)
- Adjacent
Correct answer: Complementary
Complementary angles sum to exactly 90°.
Question 6: The diameter of a circle is 14 cm. What is its radius?
- 28 cm
- 7 cm (Correct answer)
- 14 cm
- 3.5 cm
Correct answer: 7 cm
The radius is half the diameter: 14 ÷ 2 = 7 cm.
SHSAT SHSAT Geometry 2
A right triangle has legs of length 3 and 4.
What is the hypotenuse?