NJSLA Geometric Principles and Measurement 5

Question 1

A right triangle has legs of length 7 cm and 24 cm. What is the length of the hypotenuse?

Accepted Answer

25 cm

Answer

c = √(7² + 24²) = √(49 + 576) = √625 = 25 cm.

Question 2

The area of a circle is 50.24 cm². What is its diameter? (Use π ≈ 3.14)

Accepted Answer

8 cm

Answer

r² = 50.24/3.14 = 16, so r = 4 cm and diameter = 8 cm.

Question 3

Two parallel lines are cut by a transversal. Which pair of angles is always equal?

Accepted Answer

Alternate interior angles

Answer

Alternate interior angles are congruent when two parallel lines are cut by a transversal.

Question 4

A figure is reflected over the y-axis. If a point was at (5, −3), where is its image?

Accepted Answer

(−5, −3)

Answer

Reflection over the y-axis negates the x-coordinate: (5, −3) → (−5, −3).

Question 5

A triangular prism has a triangular base with base 6 cm and height 4 cm, and the prism's length is 10 cm. What is its volume?

Accepted Answer

120 cm³

Answer

V = (area of triangle) × length = ½(6)(4) × 10 = 12 × 10 = 120 cm³.

NJSLA Exam Practice Test