Regents Geometry 4

Question 1

An inscribed angle in a circle intercepts an arc of 140°. What is the measure of the inscribed angle?

Accepted Answer

70°

Answer

An inscribed angle equals half its intercepted arc: 140° ÷ 2 = 70°.

Question 2

Line segment AB has endpoints A(−3, 4) and B(5, −2). What is the length of AB?

Accepted Answer

10

Answer

AB = √((5−(−3))² + (−2−4)²) = √(64 + 36) = √100 = 10.

Question 3

A cylinder has radius 3 in and height 10 in. What is its lateral surface area? (Use π ≈ 3.14)

Accepted Answer

188.4 in²

Answer

Lateral SA = 2πrh = 2 × 3.14 × 3 × 10 = 188.4 in².

Question 4

A translation moves point (−1, 4) to (3, 1). What is the translation vector?

Accepted Answer

(4, −3)

Answer

Translation vector = (3−(−1), 1−4) = (4, −3).

Question 5

Two triangles are congruent by SAS. Which parts must be known to be congruent?

Accepted Answer

Two sides and the included angle

Answer

SAS requires two pairs of congruent sides and the included angle between them.

Regents Practice Test