Question

Stephen is making a map of his neighborhood. H e 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 friends house are on the same street.

- The angle between, the park, the bus stop, and his home is congruent to the angle between his friends house, the grocery store, and his home.

Answer 1

What theorem can Stephen use to determine the remaining distances for his map?

A. Pythagorean Theorem
B. Triangle Proportionality
C. Midsegment Theorem
D. Side-Angle-Side Similarity Theorem

Answer 2

@Yuba @random231

Answer 3

@sourwing

Answer 4

@MelissaHolmes

Answer 5

Only can use the Pythagorean theorem in a right triangle. Do you see any here?

Answer 6

He knows what some of the side and angle values are, so what do you think?

Answer 7

@whpalmer no thats why i put d @whpalmer4 and @MelissaHolmes

Answer 8

yep... that's it! :D

Answer 9

I don't see where he knows any of the side lengths...

Answer 10

Also, I think the correct is triangle proportionality, aka side-splitter. we know the angles at the bottom right are congruent, but we don't have identical sides to establish SAS.

Answer 11

whereas we know (because the angles are congruent and based off the same line) that the two sides on the upper right are parallel

Answer 12

http://hotmath.com/hotmath_help/topics/triangle-proportionality-theorem.html

Answer 13

so what would you say...

Answer 14

oh... just looked at the website...

Answer 15

so @aleisha96 , that's your answer; b.

Answer 16

@whpalmer4 my second choice was b am i correct?

Answer 17

Well, I said I thought the correct answer was triangle proportionality, and explained why. I haven't changed my mind yet :-)

Answer 18

lol :D