TSIA2 Geometric and Spatial Reasoning 2 — Questions and Answers
Question 1: What is the slope of a line that passes through the points (2, 3) and (6, 11)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (y₂ − y₁) / (x₂ − x₁) = (11 − 3) / (6 − 2) = 8 / 4 = 2.
Question 2: A square has a perimeter of 36 cm. What is its area?
- 81 cm² (Correct answer)
- 72 cm²
- 9 cm²
- 36 cm²
Correct answer: 81 cm²
Each side = 36 ÷ 4 = 9 cm, so area = 9² = 81 cm².
Question 3: What is the surface area of a cube with a side length of 4?
- 64
- 96 (Correct answer)
- 48
- 24
Correct answer: 96
A cube has 6 faces, each with area 4² = 16, so surface area = 6 × 16 = 96.
Question 4: Lines that lie in the same plane and never intersect are called:
- Perpendicular lines
- Intersecting lines
- Parallel lines (Correct answer)
- Skew lines
Correct answer: Parallel lines
Parallel lines are coplanar lines that never meet, maintaining a constant distance apart.
Question 5: If an angle measures 42°, what is the measure of its complementary angle?
- 138°
- 48° (Correct answer)
- 318°
- 58°
Correct answer: 48°
Complementary angles sum to 90°, so the complement = 90° − 42° = 48°.
Question 6: What is the distance between the points (1, 2) and (4, 6)?
- 3
- 4
- 5 (Correct answer)
- 7
Correct answer: 5
Distance = √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5.
Question 7: What is the area of a trapezoid with parallel bases of 6 and 10, and a height of 4?
- 32 (Correct answer)
- 40
- 60
- 16
Correct answer: 32
Area of a trapezoid = ½(b₁ + b₂) × h = ½(6 + 10) × 4 = ½ × 16 × 4 = 32.
TSIA2 Geometric and Spatial Reasoning 2
What is the slope of a line that passes through the points (2, 3) and (6, 11)?