Shape, Space, and Measure Flashcards

What type of angle is 135°?

Answer: Obtuse

An obtuse angle measures between 90° and 180°, so 135° is obtuse.

A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)

Answer: 282.6 cm³

Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 cm³.

How many lines of symmetry does a regular hexagon have?

Answer: 6

A regular hexagon has 6 lines of symmetry — one through each pair of opposite vertices and one through each pair of opposite edge midpoints.

Convert 2.5 km into meters.

Answer: 2,500 m

1 km = 1,000 m, so 2.5 km = 2,500 m.

A path goes 3 miles north, then 4 miles east. How far is the endpoint from the start in a straight line?

Answer: 5 miles

Using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5 miles.

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

Answer: All angles are 90°

Parallelograms do not necessarily have 90° angles — that is a property of rectangles specifically.

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

Answer: 31.4 cm

Circumference = π × diameter = 3.14 × 10 = 31.4 cm.