which diagram represents the hypothesis of the converse of corresponding angles theorem?
which diagram represents the hypothesis of the converse of corresponding angles theorem?
Answer
Explanation:
Step1: Recall the converse of corresponding angles theorem
The converse of the corresponding angles theorem states that if two lines are cut by a transversal and the corresponding angles are congruent, then the two lines are parallel. The hypothesis is about the congruence of corresponding angles.
Step2: Analyze each diagram
- In the first diagram (with lines (m) and (n)), the marked angles are corresponding angles and they are congruent.
- In the second diagram (with lines (p) and (q)), the marked angles are vertical angles.
- In the third diagram (with lines (x) and (y)), the marked angles are alternate interior angles.
Answer:
The first diagram.