Geometry Points Lines & Angles 2 — Questions and Answers
Question 1: Two angles are complementary. If one measures 37°, what does the other measure?
- 53° (Correct answer)
- 63°
- 143°
- 37°
Correct answer: 53°
Complementary angles sum to 90°, so 90 − 37 = 53°.
Question 2: What is the measure of an angle that is supplementary to a 118° angle?
- 62° (Correct answer)
- 72°
- 42°
- 82°
Correct answer: 62°
Supplementary angles sum to 180°, so 180 − 118 = 62°.
Question 3: A line segment has two endpoints. What is the correct term for a part of a line that has one endpoint and extends infinitely in one direction?
- Ray (Correct answer)
- Segment
- Plane
- Vertex
Correct answer: Ray
A ray has exactly one endpoint and continues without end in one direction.
Question 4: When two lines intersect, the angles opposite each other are called what?
- Vertical angles (Correct answer)
- Adjacent angles
- Linear pairs
- Corresponding angles
Correct answer: Vertical angles
Vertical angles are the opposite angles formed by two intersecting lines and are always equal.
Question 5: An angle measures exactly 90°. What type of angle is it?
- Right angle (Correct answer)
- Acute angle
- Obtuse angle
- Straight angle
Correct answer: Right angle
An angle of exactly 90° is a right angle.
Question 6: Two angles form a linear pair. If one is 105°, what is the other?
- 75° (Correct answer)
- 85°
- 95°
- 65°
Correct answer: 75°
A linear pair is supplementary, so 180 − 105 = 75°.
Question 7: How many points are needed to determine a unique straight line?
- Two (Correct answer)
- One
- Three
- Four
Correct answer: Two
Exactly two distinct points determine one unique line.
Two angles are complementary.
If one measures 37°, what does the other measure?