PARCC Geometry 3

Question 1

A line segment has endpoints at (2, 3) and (8, 11). What are the coordinates of its midpoint?

Accepted Answer

(5, 7)

Answer

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)?

Accepted Answer

10

Answer

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?

Accepted Answer

40°

Answer

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)

Accepted Answer

282.6

Answer

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?

Accepted Answer

65°

Answer

Alternate interior angles are congruent when lines are parallel.

PARCC Practice Test