PARCC Geometry 3 — Questions and Answers
Question 1: A line segment has endpoints at (2, 3) and (8, 11). What are the coordinates of its midpoint?
- (5, 7) (Correct answer)
- (6, 8)
- (4, 6)
- (10, 14)
Correct answer: (5, 7)
The midpoint is ((2+8)/2, (3+11)/2) = (5, 7).
Question 2: What is the distance between the points (0, 0) and (6, 8)?
- 10 (Correct answer)
- 14
- 48
- 100
Correct answer: 10
Distance = √(6² + 8²) = √100 = 10.
Question 3: In a circle, an inscribed angle subtends an arc of 80°. What is the measure of the inscribed angle?
- 80°
- 160°
- 40° (Correct answer)
- 20°
Correct answer: 40°
An inscribed angle equals half of its intercepted arc, so 80° ÷ 2 = 40°.
Question 4: A cylinder has a radius of 3 and a height of 10. What is its volume? (Use π ≈ 3.14)
- 94.2
- 282.6 (Correct answer)
- 188.4
- 90
Correct answer: 282.6
Volume = πr²h = 3.14 × 9 × 10 = 282.6.
Question 5: Two parallel lines are cut by a transversal. If one alternate interior angle is 65°, what is the other alternate interior angle?
- 115°
- 65° (Correct answer)
- 25°
- 130°
Correct answer: 65°
Alternate interior angles are congruent when lines are parallel.
Question 6: What is the equation of a line with slope 2 passing through the point (0, 3)?
- y = 3x + 2
- y = 2x + 3 (Correct answer)
- y = 2x − 3
- y = 3x − 2
Correct answer: y = 2x + 3
Using slope-intercept form y = mx + b with m = 2 and b = 3 gives y = 2x + 3.
Question 7: An equilateral triangle has all sides equal to 6. What is its perimeter?
- 12
- 18 (Correct answer)
- 24
- 36
Correct answer: 18
Perimeter = 3 × 6 = 18.
PARCC Geometry 3
A line segment has endpoints at (2, 3) and (8, 11).
What are the coordinates of its midpoint?