Question

question 8 of 25
which angles are corresponding angles?
check all that apply.
a. 2 and 7
b. 4 and 6
c. 2 and 6
d. 3 and 7
e. 3 and 6
f. 4 and 8

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 2 and angle 7 are not in the same relative position.
• Option B: Angle 4 and angle 6 are alternate - interior angles, not corresponding angles.
• Option C: Angle 2 and angle 6 are in the same relative position (upper - right at their respective intersections), so they are corresponding angles.
• Option D: Angle 3 and angle 7 are in the same relative position (lower - left at their respective intersections), so they are corresponding angles.
• Option E: Angle 3 and angle 6 are consecutive - interior angles, not corresponding angles.
• Option F: Angle 4 and angle 8 are in the same relative position (lower - right at their respective intersections), so they are corresponding angles.

Answer:

C. 2 and 6, D. 3 and 7, F. 4 and 8