CHECK MY ANSWER PLEASE! WILL GIVE MEDAL :)

Stephen is making a map of his neighborhood. He knows the following information:

His home, the bus stop, and the grocery store are all on the same street.
His home, the park, and his friend's house are on the same street.
The angle between the park, the bus stop, and his home is congruent to the angle between his friend's house, the grocery store, and his home.

What theorem can Stephen use to determine that certain angles are congruent?

Question

CHECK MY ANSWER PLEASE! WILL GIVE MEDAL :)

Stephen is making a map of his neighborhood. He knows the following information:

His home, the bus stop, and the grocery store are all on the same street.
His home, the park, and his friend's house are on the same street.
The angle between the park, the bus stop, and his home is congruent to the angle between his friend's house, the grocery store, and his home.

What theorem can Stephen use to determine that certain angles are congruent?

anonymous · Answer

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anonymous · Answer

Is it the Corresponding Angles Theorem ?

anonymous · Answer

@Hero @pooja195 @jigglypuff314 Is my answer correct? :)

jigglypuff314 · Answer

http://hotmath.com/hotmath_help/topics/corresponding-angles-postulate.html The corresponding angles postulate only applies to parallel lines ^_^ I don't believe we are dealing with parallel lines here :)

anonymous · Answer

Ooh I thought so simply because there are congruent angles there, my bad! Soo would it be maybe AAS theorem?

jigglypuff314 · Answer

hmmm I think we were only given 1 angle that is congruent
and 2 sides that have equal ratios?

anonymous · Answer

In that case would the vertical angles theorem be appropriate?

jigglypuff314 · Answer

I don't think it would be that either :)

this is what the vertical angles theorem looks like:
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