OAR OAR Math Skills: Geometry 3

Question 1

A triangle has angles measuring 45° and 75°. What is the measure of the third angle?

Accepted Answer

60°

Answer

The interior angles of a triangle sum to 180°; 180° − 45° − 75° = 60°.

Question 2

A cylinder has radius 3 cm and height 10 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

282.6 cm³

Answer

V = π × r² × h = 3.14 × 9 × 10 = 282.6 cm³.

Question 3

Which of the following best describes a rhombus?

Accepted Answer

A parallelogram with all four sides equal

Answer

A rhombus is a parallelogram where all four sides are congruent, but angles need not be 90°.

Question 4

Point A is at (2, 3) and Point B is at (−2, 6). What is the distance AB?

Accepted Answer

5

Answer

d = √[(−2−2)² + (6−3)²] = √[16 + 9] = √25 = 5.

Question 5

A square has a diagonal of 8√2 inches. What is the side length of the square?

Accepted Answer

8 in

Answer

For a square with side s, diagonal = s√2; s = (8√2) ÷ √2 = 8 in.

OAR Test Practice Test