Question

I need someone to check my answers please!
What theorem can Abdul use to determine the remaining distances for his map?
a. Pythagorean Theorem
b. Midsegment Theorem
c. Triangle Proportionality Theorem
d. Side-Angle-Side Similarity Theorem

Answer 1

i chose B.

Answer 2

@Hero @welshfella @mathstudent55 @robtobey help please!

Answer 3

Are you told anything about the segments in the triangle?

Answer 4

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 his home and the middle school is 3 miles.
The distance between his high school and the middle school is 6 miles.
The street between the middle school and elementary school is parallel to the street between his friend's home and the high school.

Answer 5

Thats the info i got

Answer 6

OK.

Let's see what we have.

Answer 7

I placed all the given info on the figure above.

Answer 8

The midesegment theorem would only work if the middle school were on the midpoint of the segment between the home and the high school.

Answer 9

That is not the case here, because 3 miles and 6 miles are no the same distance.

Answer 10

This is what you need to use.

Answer 11

What is it called?

Answer 12

ohhh isnt it triangle proportionality theorem

Answer 13

"Triangle Proportionality Theorem"
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

Answer 14

Correct.
Your first answer was not a bad guess.
Had the MS been the midpoint of the segment from the H to the HS, you would have been correct.

Answer 15

I was between those two, thank you so much.

Answer 16

You're welcome.