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.

Question

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.

anonymous · Answer

What theorem can Stephen use to determine the two triangles are similar? 
 Pieces of Right Triangles Similarity Theorem 

 Side-Side-Side Similarity Theorem 

 Midsegment Theorem 

 Side-Angle-Side Similarity Theorem