BSEP Geometric Principles 2 — Questions and Answers
Question 1: A rectangle has a length of 12 inches and a width of 5 inches. What is its perimeter?
- 34 inches (Correct answer)
- 60 inches
- 17 inches
- 24 inches
Correct answer: 34 inches
Perimeter of a rectangle = 2(length + width) = 2(12 + 5) = 2(17) = 34 inches.
Question 2: Which of the following best describes a right angle?
- An angle that measures exactly 90° (Correct answer)
- An angle that measures exactly 180°
- An angle less than 90°
- An angle greater than 90°
Correct answer: An angle that measures exactly 90°
A right angle measures exactly 90° and is often marked with a small square in diagrams.
Question 3: A circle has a diameter of 10 cm. What is its radius?
- 5 cm (Correct answer)
- 20 cm
- 10 cm
- 3.14 cm
Correct answer: 5 cm
The radius is half the diameter, so 10 ÷ 2 = 5 cm.
Question 4: How many sides does a hexagon have?
- 6 (Correct answer)
- 5
- 7
- 8
Correct answer: 6
A hexagon has 6 sides; the prefix 'hex' means six.
Question 5: Two angles are supplementary. One angle measures 65°. What is the measure of the other angle?
- 115° (Correct answer)
- 25°
- 295°
- 90°
Correct answer: 115°
Supplementary angles add up to 180°, so 180° − 65° = 115°.
Question 6: What is the area of a triangle with a base of 8 m and a height of 6 m?
- 24 m² (Correct answer)
- 48 m²
- 14 m²
- 28 m²
Correct answer: 24 m²
Area of a triangle = ½ × base × height = ½ × 8 × 6 = 24 m².
Question 7: Which type of triangle has all three sides of different lengths?
- Scalene (Correct answer)
- Equilateral
- Isosceles
- Right
Correct answer: Scalene
A scalene triangle has no equal sides, whereas equilateral has three equal and isosceles has two equal.
A rectangle has a length of 12 inches and a width of 5 inches.
What is its perimeter?