Regents Geometry 3

Question 1

In a circle, a central angle measures 80°. What is the measure of the arc it intercepts?

Accepted Answer

80°

Answer

A central angle equals the measure of its intercepted arc, so the arc is 80°.

Question 2

What is the volume of a rectangular prism with length 5 m, width 3 m, and height 4 m?

Accepted Answer

60 m³

Answer

Volume = l × w × h = 5 × 3 × 4 = 60 m³.

Question 3

Two secants are drawn from an external point. The external segment of the first secant is 4 and its whole length is 9. The external segment of the second secant is 3. What is the whole length of the second secant?

Accepted Answer

12

Answer

Secant-secant theorem: 4 × 9 = 3 × x, so x = 12.

Question 4

Which transformation preserves both shape and size (is an isometry)?

Accepted Answer

Reflection

Answer

Reflection is a rigid motion that preserves all distances and angles.

Question 5

A trapezoid has bases of 8 cm and 14 cm and a height of 5 cm. What is its area?

Accepted Answer

55 cm²

Answer

Area = ½ × (8 + 14) × 5 = 55 cm².

Regents Practice Test

Regents Practice Test

Regents Geometry 3