SOLUTION: Given: P is the midpoint of TQ and RS. Prove: △TPR ≅ △QPS Would my answer be correct? Here is a link to the image: https://imgur.com/a/lPPnBBA

Algebra ->  Geometry-proofs -> SOLUTION: Given: P is the midpoint of TQ and RS. Prove: △TPR ≅ △QPS Would my answer be correct? Here is a link to the image: https://imgur.com/a/lPPnBBA      Log On


   



Question 1187856: Given: P is the midpoint of TQ and RS.
Prove: △TPR ≅ △QPS
Would my answer be correct?
Here is a link to the image: https://imgur.com/a/lPPnBBA

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
in your case given P is the midpoint of TQ and RS
then TP=QP and RP=SP, so these two pairs of corresponding sides are equal
if given vertical angles are congruent, means

△TPR ≅ △QPS by SAS postulate