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.

what theorem can abdul use to determine the remaining distances for his map?

pythagorean theorem

midsegment theorem

triangle proportionality theorem

side-angle-side similarity theorem