Question

which of these angle pairs are congruent because they are corresponding angles? a. 1 and 3 b. 1 and 2 c. 1 and 8 d. 1 and 6

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

• Option A: Angle 1 and angle 3. Angle 1 is at the lower - left intersection and angle 3 is at the upper - right intersection. They are in the same relative position (lower - left and upper - right at their respective intersections), so they are corresponding angles.
• Option B: Angle 1 and angle 2 are adjacent angles (they share a common side), not corresponding angles.
• Option C: Angle 1 and angle 8. Their relative positions at the intersections are not the same. Angle 1 is at the lower - left of its intersection and angle 8 is at the upper - left of its intersection.
• Option D: Angle 1 and angle 6. Their relative positions at the intersections are not the same. Angle 1 is at the lower - right of its intersection and angle 6 is at the upper - left of its intersection.

Answer:

A. 1 and 3