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.
• 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? (6 points)

Pieces of Right Triangles Similarity Theorem

Side-Side-Side Similarity Theorem

Midsegment Theorem

Side-Angle-Side Similarity Theorem

Side-Side-Side Similarity Theorem

Step-by-step explanation:

Abdul can use the Side-Side-Side Similarity Theorem because:

Triangles all have the same sides, and these two are the exact triangle kind.

Therefore, the answer is Side-Side-Side Similarity Theorem.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

based on context clues you gave i'm assuming the answer would be c.