ALEKS Geometry and Measurement 2 — Questions and Answers
Question 1: A trapezoid has bases of 8 and 12 and a height of 5. What is its area?
- 50 (Correct answer)
- 40
- 60
- 100
Correct answer: 50
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?
- Equilateral (Correct answer)
- Isosceles
- Scalene
- Right
Correct answer: Equilateral
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)
- 78.5 (Correct answer)
- 31.4
- 157
- 50
Correct answer: 78.5
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?
- Alternate interior angles (Correct answer)
- Co-interior angles
- Adjacent angles
- Supplementary angles
Correct answer: Alternate interior angles
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?
- 36 cm (Correct answer)
- 42 cm
- 30 cm
- 24 cm
Correct answer: 36 cm
A regular hexagon has 6 equal sides, so perimeter = 6 × 6 = 36 cm.
Question 6: A cylinder has radius 3 and height 7. What is its volume? (Use π ≈ 3.14)
- 197.82 (Correct answer)
- 63
- 131.88
- 66
Correct answer: 197.82
Volume = πr²h = 3.14 × 9 × 7 = 197.82.
ALEKS Geometry and Measurement 2
A trapezoid has bases of 8 and 12 and a height of 5.
What is its area?