ALEKS Geometry and Measurement 2

Question 1

A trapezoid has bases of 8 and 12 and a height of 5. What is its area?

Accepted Answer

50

Answer

Area = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = ½ × 100 = 50.

Question 2

What type of triangle has all three sides of equal length?

Accepted Answer

Equilateral

Answer

An equilateral triangle has all three sides equal and all angles measuring 60°.

Question 3

What is the area of a circle with diameter 10? (Use π ≈ 3.14)

Accepted Answer

78.5

Answer

Radius = 5, Area = πr² = 3.14 × 25 = 78.5.

Question 4

Two parallel lines are cut by a transversal. Which angle pair is always equal?

Accepted Answer

Alternate interior angles

Answer

Alternate interior angles are congruent when formed by parallel lines and a transversal.

Question 5

What is the perimeter of a regular hexagon with side length 6 cm?

Accepted Answer

36 cm

Answer

A regular hexagon has 6 equal sides, so perimeter = 6 × 6 = 36 cm.

ALEKS - Assessment and Learning in Knowledge Spaces Practice Test