Geometry Geometry 3 — Questions and Answers
Question 1: Two triangles that have the same shape but different sizes are called what?
- Congruent
- Similar (Correct answer)
- Equilateral
- Reflected
Correct answer: Similar
Similar triangles have equal angles and proportional sides but may differ in size.
Question 2: What is the measure of each angle in an equilateral triangle?
- 45°
- 60° (Correct answer)
- 90°
- 120°
Correct answer: 60°
An equilateral triangle has three equal angles summing to 180°, so each is 60°.
Question 3: The circumference of a circle with diameter 10 is closest to which value?
- 15.7
- 31.4 (Correct answer)
- 62.8
- 78.5
Correct answer: 31.4
Circumference = πd = π(10) ≈ 31.4.
Question 4: A trapezoid has parallel sides of 8 and 12 and a height of 5. What is its area?
- 40
- 50 (Correct answer)
- 60
- 100
Correct answer: 50
Area = ½(b₁ + b₂)·h = ½(8 + 12)(5) = 50.
Question 5: What do you call a triangle with all sides of different lengths?
- Isosceles
- Scalene (Correct answer)
- Equilateral
- Right
Correct answer: Scalene
A scalene triangle has three sides of different lengths.
Question 6: Vertical angles formed by two intersecting lines are always what?
- Supplementary
- Complementary
- Equal (Correct answer)
- Right angles
Correct answer: Equal
Vertical angles are always congruent (equal in measure).
Question 7: What is the area of a triangle with base 10 and height 6?
- 16
- 30 (Correct answer)
- 60
- 120
Correct answer: 30
Area = ½·base·height = ½(10)(6) = 30.
Geometry Geometry 3
Two triangles that have the same shape but different sizes are called what?