GED Mathematical Reasoning Geometry and Measurement 5 β Questions and Answers
Question 1: Two parallel lines are cut by a transversal. Alternate interior angles are always:
- Equal in measure (Correct answer)
- Supplementary
- Complementary
- Adjacent
Correct answer: Equal in measure
When a transversal crosses parallel lines, alternate interior angles are congruent (equal).
Question 2: A cone has a radius of 4 inches and a height of 9 inches. What is its approximate volume? (Use Ο β 3.14)
- 150.72 inΒ³ (Correct answer)
- 452.16 inΒ³
- 50.24 inΒ³
- 301.44 inΒ³
Correct answer: 150.72 inΒ³
Volume = β Γ Ο Γ rΒ² Γ h = β Γ 3.14 Γ 16 Γ 9 = 150.72 inΒ³.
Question 3: A rectangular swimming pool is 25 meters long and 10 meters wide. What is the perimeter of the pool?
- 70 meters (Correct answer)
- 250 meters
- 35 meters
- 60 meters
Correct answer: 70 meters
Perimeter = 2 Γ (length + width) = 2 Γ (25 + 10) = 2 Γ 35 = 70 meters.
Question 4: Which transformation slides a figure to a new position without rotating or reflecting it?
- Translation (Correct answer)
- Rotation
- Reflection
- Dilation
Correct answer: Translation
A translation moves every point of a figure the same distance in the same direction.
Question 5: A right triangle has one leg of 5 cm and a hypotenuse of 13 cm. What is the length of the other leg?
- 12 cm (Correct answer)
- 8 cm
- 18 cm
- 10 cm
Correct answer: 12 cm
Using aΒ² + bΒ² = cΒ²: b = β(13Β² β 5Β²) = β(169 β 25) = β144 = 12 cm.
Question 6: The circumference of a circle is approximately 62.8 cm. What is the radius of the circle? (Use Ο β 3.14)
- 10 cm (Correct answer)
- 5 cm
- 20 cm
- 31.4 cm
Correct answer: 10 cm
C = 2Οr β r = C Γ· (2Ο) = 62.8 Γ· (2 Γ 3.14) = 62.8 Γ· 6.28 = 10 cm.
Question 7: A figure is reflected over the y-axis. If the original point is at (3, β4), where is the image?
- (β3, β4) (Correct answer)
- (3, 4)
- (β3, 4)
- (4, β3)
Correct answer: (β3, β4)
Reflecting over the y-axis negates the x-coordinate: (3, β4) β (β3, β4).
GED Mathematical Reasoning Geometry and Measurement 5
Two parallel lines are cut by a transversal.
Alternate interior angles are always: