West B Test Math: Geometry and Measurement 3

Question 1

A trapezoid has bases of 8 cm and 12 cm and a height of 5 cm. What is its area?

Accepted Answer

50 cm²

Answer

Area of a trapezoid = ½(b₁ + b₂) × h = ½(8 + 12) × 5 = ½ × 20 × 5 = 50 cm².

Question 2

If two parallel lines are cut by a transversal, which pair of angles is always congruent?

Accepted Answer

Alternate interior angles

Answer

Alternate interior angles formed by a transversal cutting parallel lines are always congruent.

Question 3

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

Accepted Answer

282.6 cm³

Answer

Volume = πr²h = 3.14 × 3² × 10 = 3.14 × 9 × 10 = 282.6 cm³.

Question 4

What is the measure of each interior angle of a regular hexagon?

Accepted Answer

120°

Answer

Sum of interior angles of a hexagon = (6−2) × 180° = 720°; each angle = 720° ÷ 6 = 120°.

Question 5

A map uses a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?

Accepted Answer

175 miles

Answer

Actual distance = 3.5 × 50 = 175 miles.

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