Regents Geometry 2 — Questions and Answers
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?
- 112°
- 68° (Correct answer)
- 58°
- 22°
Correct answer: 68°
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)
- 43.96 cm (Correct answer)
- 87.92 cm
- 21.98 cm
- 153.86 cm
Correct answer: 43.96 cm
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?
- 6 (Correct answer)
- 5
- 7
- 3
Correct answer: 6
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?
- 3/4
- 4/3
- −4/3 (Correct answer)
- −3/4
Correct answer: −4/3
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?
- 15 (Correct answer)
- 18
- 21
- √153
Correct answer: 15
By the Pythagorean theorem: √(81 + 144) = √225 = 15.
Question 6: The interior angles of a polygon sum to 1080°. How many sides does the polygon have?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
Using (n − 2) × 180° = 1080° gives n = 8.
Question 7: Point M is the midpoint of segment AB where A = (2, 5) and B = (8, 1). What are the coordinates of M?
- (5, 3) (Correct answer)
- (6, 6)
- (3, 4)
- (10, 6)
Correct answer: (5, 3)
Midpoint = ((2+8)/2, (5+1)/2) = (5, 3).
Regents Geometry 2
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?