GED Mathematical Reasoning Geometry and Measurement 5

Question 1

Two parallel lines are cut by a transversal. Alternate interior angles are always:

Accepted Answer

Equal in measure

Answer

When a transversal crosses parallel lines, alternate interior angles are congruent (equal).

Question 2

A cone has a radius of 4 inches and a height of 9 inches. What is its approximate volume? (Use π ≈ 3.14)

Accepted Answer

150.72 in³

Answer

Volume = ⅓ × π × r² × h = ⅓ × 3.14 × 16 × 9 = 150.72 in³.

Question 3

A rectangular swimming pool is 25 meters long and 10 meters wide. What is the perimeter of the pool?

Accepted Answer

70 meters

Answer

Perimeter = 2 × (length + width) = 2 × (25 + 10) = 2 × 35 = 70 meters.

Question 4

Which transformation slides a figure to a new position without rotating or reflecting it?

Accepted Answer

Translation

Answer

A translation moves every point of a figure the same distance in the same direction.

Question 5

A right triangle has one leg of 5 cm and a hypotenuse of 13 cm. What is the length of the other leg?

Accepted Answer

12 cm

Answer

Using a² + b² = c²: b = √(13² − 5²) = √(169 − 25) = √144 = 12 cm.

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