RICAS Geometry and Measurement 1 — Questions and Answers
Question 1: A rectangle has a length of 12 cm and a width of 7 cm. What is its perimeter?
- 38 cm (Correct answer)
- 84 cm
- 19 cm
- 76 cm
Correct answer: 38 cm
Perimeter of a rectangle = 2(length + width) = 2(12 + 7) = 2(19) = 38 cm.
Question 2: Which of the following describes a right angle?
- An angle that measures exactly 90° (Correct answer)
- An angle that measures exactly 180°
- An angle that measures less than 90°
- An angle that measures more than 90° but less than 180°
Correct answer: An angle that measures exactly 90°
A right angle measures exactly 90° and is often shown with a small square symbol at the vertex.
Question 3: A triangle has sides of 5 in, 12 in, and 13 in. Which type of triangle is this?
- Right triangle (Correct answer)
- Acute triangle
- Obtuse triangle
- Equilateral triangle
Correct answer: Right triangle
Since 5² + 12² = 25 + 144 = 169 = 13², the Pythagorean theorem confirms this is a right triangle.
Question 4: What is the area of a triangle with a base of 10 m and a height of 6 m?
- 30 m² (Correct answer)
- 60 m²
- 16 m²
- 32 m²
Correct answer: 30 m²
Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 m².
Question 5: On a coordinate plane, point A is at (2, 3) and point B is at (2, 8). What is the distance between A and B?
- 5 units (Correct answer)
- 11 units
- 3 units
- 8 units
Correct answer: 5 units
Since the x-coordinates are the same, the distance is the absolute difference of y-coordinates: |8 − 3| = 5 units.
Question 6: A circle has a radius of 5 ft. What is the approximate area of the circle? (Use π ≈ 3.14)
- 78.5 ft² (Correct answer)
- 31.4 ft²
- 15.7 ft²
- 157 ft²
Correct answer: 78.5 ft²
Area = π × r² = 3.14 × 5² = 3.14 × 25 = 78.5 ft².
Question 7: Which transformation moves every point of a figure the same distance and direction without changing its shape or size?
- Translation (Correct answer)
- Rotation
- Reflection
- Dilation
Correct answer: Translation
A translation slides a figure a fixed distance in a given direction, preserving its shape and size exactly.
RICAS Geometry and Measurement 1
A rectangle has a length of 12 cm and a width of 7 cm.
What is its perimeter?