Question

What theorem can Stephen use to determine the two triangles are similar?

Answer 1

a. Pieces of Right Triangles Similarity Theorem
b. Side-Side-Side Similarity Theorem
c. Midsegment Theorem
d. Side-Angle-Side Similarity Theorem

Answer 2

Stephen is making a map of his neighborhood. He knows the following information:
The distance from his home to the park is 10 blocks
The distance from his home to his friend's house is 15 blocks
The distance from the grocery store to his home is 9 blocks
The distance from the bus stop to his home is 6 blocks

Answer 3

@jim_thompson5910

Answer 4

I thought it was SSS but I got it wrong.

Answer 5

notice how 15/10 = 9/6, both reduce to 3/2

Answer 6

so essentially the sides are in proportion

the common angle is at the house, so we'll use the SAS similarity theorem

Answer 7

the two S's refer to the sides around the angle at the house

the A is the angle at the house

Answer 8

But it doesn't say that the angle is congruent.

Answer 9

it's a shared angle. ie the angles overlap perfectly

Answer 10

the small triangle and the large triangle share this angle

Answer 11

Oh. Ok. Sorry, thanks for the help!

Answer 12

How do I give you a medal?

Answer 13

it's fine and you click best response

Answer 14

Alright, thanks again!