Question

Hey, I'm stuck on one question on my test.

Abdul is making a map of his neighborhood. He knows the following information:His home, the middle school, and high school are all on the same street
His home, the elementary school, and his friend's house are on the same street.
The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home.
I'm going to post the picture in a second

Answer 1

What theorem can Abdul use to determine that certain angles are congruent?
Corresponding angles Theorem
Verticle Angles Theorem

Answer 2

The Vertical Angle theorem suggest that all vertical angles are always congruent and that all the lines cross each other and the Corresponding angle theorem states that when two parallel lines are cut by a transversal the corresponding angles are congruent. Does this get you closer answer to answering your question?

Answer 3

Yes, this makes it seem more towards Corresponding angles Theorem. Due to the two parallel lines being crossed by a traversal it also seems more relative to the question being asked.

Answer 4

Good:)