Regents Geometry 2

Question 1

Two parallel lines are cut by a transversal. If one co-interior (same-side interior) angle measures 112°, what is the measure of the other co-interior angle?

Accepted Answer

68°

Answer

Co-interior angles are supplementary, so 180° − 112° = 68°.

Question 2

A circle has a diameter of 14 cm. What is its circumference to the nearest hundredth? (Use π ≈ 3.14)

Accepted Answer

43.96 cm

Answer

C = πd = 3.14 × 14 = 43.96 cm.

Question 3

Triangle ABC is similar to triangle DEF. If AB = 6, BC = 9, and DE = 4, what is EF?

Accepted Answer

6

Answer

The scale factor AB:DE = 6:4 = 3:2, so EF = BC × (2/3) = 6.

Question 4

What is the slope of a line perpendicular to a line with slope 3/4?

Accepted Answer

−4/3

Answer

Perpendicular slopes are negative reciprocals, so the perpendicular slope is −4/3.

Question 5

A right triangle has legs of length 9 and 12. What is the length of its hypotenuse?

Accepted Answer

15

Answer

By the Pythagorean theorem: √(81 + 144) = √225 = 15.

Regents Practice Test

Regents Practice Test

Regents Geometry 2