ALEKS Geometry and Measurement 3

Question 1

What is the measure of each interior angle of a regular pentagon?

Accepted Answer

108°

Answer

Sum of interior angles = (5 - 2) × 180° = 540°; each angle = 540° ÷ 5 = 108°.

Question 2

A rectangular prism has dimensions 5 × 4 × 3. What is its surface area?

Accepted Answer

94

Answer

SA = 2(lw + lh + wh) = 2(20 + 15 + 12) = 2(47) = 94.

Question 3

If two triangles are similar and their sides are in a ratio of 2:3, what is the ratio of their areas?

Accepted Answer

4:9

Answer

The ratio of areas of similar figures equals the square of the ratio of corresponding sides: (2:3)² = 4:9.

Question 4

An angle measures 130°. What is its complement?

Accepted Answer

No complement exists

Answer

Complementary angles add to 90°; since 130° > 90°, it has no complementary angle.

Question 5

A line segment has endpoints A(1, 2) and B(5, 6). What is the midpoint?

Accepted Answer

(3, 4)

Answer

Midpoint = ((1+5)/2, (2+6)/2) = (3, 4).

ALEKS - Assessment and Learning in Knowledge Spaces Practice Test