Mathematics: Geometry and Measurement Flashcards

What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

Answer: 26 cm

Perimeter of a rectangle = 2(l + w) = 2(8 + 5) = 2(13) = 26 cm.

A triangle has two angles measuring 45° and 75°. What is the measure of the third angle?

Answer: 60°

The angles of a triangle always sum to 180°, so the third angle = 180° − 45° − 75° = 60°.

What is the area of a circle with a radius of 4 cm? (Use π ≈ 3.14)

Answer: 50.24 cm²

Area of a circle = πr² = 3.14 × 4² = 3.14 × 16 = 50.24 cm².

Which of the following is NOT necessarily a property of a parallelogram?

Answer: All four angles measure 90°

A parallelogram has opposite sides parallel and equal and opposite angles equal, but its angles do not have to be 90° — that is the specific property of a rectangle.

A line segment has endpoints at (2, 3) and (6, 3) on a coordinate plane. What is the length of the segment?

Answer: 4 units

Since both points share the same y-coordinate, the length is simply the difference in x-coordinates: 6 − 2 = 4 units.

What is the volume of a rectangular prism with a length of 5 cm, width of 3 cm, and height of 4 cm?

Answer: 60 cm³

Volume of a rectangular prism = length × width × height = 5 × 3 × 4 = 60 cm³.

An angle that measures exactly 90° is called a _____ angle.

Answer: Right

A right angle measures exactly 90° and is often marked with a small square in diagrams.