Question

Jennifer used a compass and found that the measure of angle QPR is the same as the measure of angle MLN, and that the measure of angle PQR is the same as the measure of angle LMN in the triangles shown below. Using complete sentences, describe the next steps required to prove that triangle PQR is congruent to triangle LMN.

Answer 1

Is this multiple choice?

Answer 2

No :(

Answer 3

Try use a ruler to see if QP is congruent to ML.

Answer 4

@Hero

Answer 5

@ParthKohli

Answer 6

Do I have to use the ASA postulate?

Answer 7

Yes.

Answer 8

Does this sound good? We know that triangle PQR and LMN are obtuse triangles. By using the ASA postulate, we can find that both triangles are congruent to each other. We already have found out that angles QPR and MLN are congruent to each other. Angles PQR and LMN are also equal. If that is, then segments LN and PR are equal, according to the ASA postulate, which in turn tells us that both triangles are congruent.