Geometric and Spatial Reasoning Flashcards

What is the area of a triangle with a base of 8 cm and a height of 5 cm?

Answer: 20 cm²

The area of a triangle is A = ½ × base × height = ½ × 8 × 5 = 20 cm².

A rectangle has a length of 12 cm and a width of 5 cm. What is its perimeter?

Answer: 34 cm

Perimeter of a rectangle = 2(length + width) = 2(12 + 5) = 2(17) = 34 cm.

What is the circumference of a circle with a radius of 7 cm? (Use π ≈ 3.14)

Answer: 43.96 cm

Circumference = 2πr = 2 × 3.14 × 7 = 43.96 cm.

Two angles are supplementary. One angle measures 65°. What is the measure of the other angle?

Answer: 115°

Supplementary angles sum to 180°, so the other angle = 180° − 65° = 115°.

What is the volume of a rectangular prism with length 4, width 3, and height 6?

Answer: 72

Volume of a rectangular prism = length × width × height = 4 × 3 × 6 = 72.

A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

Answer: 10

By the Pythagorean theorem, c² = 6² + 8² = 36 + 64 = 100, so c = 10.

What is the area of a circle with a diameter of 10? (Use π ≈ 3.14)

Answer: 78.5

The radius is 10 ÷ 2 = 5, so area = πr² = 3.14 × 25 = 78.5.