Question

Can someone confirm that I have chosen the right answer?

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 distance between home and the middle school and between home and the elementary school is 3 miles.
•The distance between the high school and the middle school and between his friend’s house and the elementary school is 6 miles.

Answer 1

•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.

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

1. Piece of right triangles theorem
---->2. SSS similarity theorem
3. mid segment theorem
4. SAS similarity theorem.

Answer 2

So you need to know this: by what theorem are the labeled below triangles are congruent.

Answer 3

you have the sidesand the sidesand the angle that the home forms (with either set: Elem. and Midd. schools, OR Friend's House and High school)

Answer 4

So I am thinking of a different answer.

Answer 5

So I would think Angle Angle Side?

Answer 6

you have 2 sides similar and 1 angle (as I tried to show in my pictures above)

Answer 7

I don't think it is AAS, because you need to show that are congruent angles, and don't YET know that

Answer 8

you have angle formed by the "Home" which is same in both triangles, and 2 sets of similar sides

Answer 9

so since you said that I have 2 sides that are similar and 1 angle would it be SSA?

Answer 10

yes, SAS :)

Answer 11

or, A\(\tiny\color{white}{ ~ }\)S\(\tiny\color{white}{ ~ }\)S jk

Answer 12

sorry yeah wrong way around! my bad.

Answer 13

it is not important which way you say it...

Answer 14

THANK YOU! <3

Answer 15

yw