Geometry and Measurement Flashcards

A rectangle has a length of 12 cm and a width of 7 cm. What is its perimeter?

Answer: 38 cm

Perimeter of a rectangle = 2(length + width) = 2(12 + 7) = 2(19) = 38 cm.

Which of the following describes a right angle?

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.

A triangle has sides of 5 in, 12 in, and 13 in. Which type of triangle is this?

Answer: Right triangle

Since 5² + 12² = 25 + 144 = 169 = 13², the Pythagorean theorem confirms this is a right triangle.

What is the area of a triangle with a base of 10 m and a height of 6 m?

Answer: 30 m²

Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 m².

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?

Answer: 5 units

Since the x-coordinates are the same, the distance is the absolute difference of y-coordinates: |8 − 3| = 5 units.

A circle has a radius of 5 ft. What is the approximate area of the circle? (Use π ≈ 3.14)

Answer: 78.5 ft²

Area = π × r² = 3.14 × 5² = 3.14 × 25 = 78.5 ft².

Which transformation moves every point of a figure the same distance and direction without changing its shape or size?

Answer: Translation

A translation slides a figure a fixed distance in a given direction, preserving its shape and size exactly.