1. In the diagram, lines 𝑙 and 𝑚 are parallel. Which term best describes the relationship between ∠3 and ∠6?
- A) Corresponding Angles
- B) Alternate Interior Angles
- C) Consecutive Interior Angles
- D) Alternate Exterior Angles
2. If two parallel lines are cut by a transversal and one angle measures 70°, what is the measure of its corresponding angle?
- A) 70°
- B) 110°
- C) 20°
- D) 35°
3. Two alternate exterior angles measure (4𝑥 + 10)° and (6𝑥 − 20)°. Find the value of 𝑥.
- A) 10
- B) 15
- C) 5
- D) 20
4. What is the distance between the points A(-1, 5) and B(3, 2)?
- A) 3
- B) 4
- C) 5
- D) 25
5. Find the midpoint of the segment with endpoints (10, -2) and (4, 8).
- A) (7, 3)
- B) (6, 6)
- C) (14, 6)
- D) (3, 5)
6. If m∠4 = 110° and m∠6 = 70°, which statement proves that lines 𝑙 and 𝑚 are parallel?
- A) The lines are parallel because corresponding angles are congruent.
- B) The lines are not parallel because alternate interior angles are not congruent.
- C) The lines are parallel because consecutive interior angles are supplementary.
- D) The lines are not parallel because the angles are not equal.
7. Two consecutive interior angles are given by (2𝑦 + 10)° and (3𝑦 − 30)°. What is the measure of the larger angle?
- A) 40°
- B) 90°
- C) 100°
- D) 80°
8. If m∠1 = 125°, what is m∠7?
- A) 125°
- B) 55°
- C) 62.5°
- D) Cannot be determined
9. What are the lengths of the three sides of a triangle with vertices at P(0,0), Q(4,0), and R(4,3)?
- A) 3, 4, and 5
- B) 3, 4, and 6
- C) 4, 4, and 3
- D) 5, 5, and 5
10. Which of the following angle pairs are always supplementary when parallel lines are cut by a transversal?
- A) Vertical Angles
- B) Alternate Interior Angles
- C) Consecutive Interior Angles
- D) Corresponding Angles