Question

Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.

Answer 1

Answer:

Yes, there is enough information to prove that the triangles are congruent.

ASA POSTULATE

Step-by-step explanation:

$In\:\triangle PQR \: and \triangle TSR$

$\angle PQR \cong \angle TSR...(given)$

$QR\cong SR..... (given)$

$\angle PRQ \cong\angle TRS\\(Vertical \: \angle s)$

$\therefore \triangle PQR \cong \triangle TSR\\(ASA\: postulate)$

Answer 2

Answer:

• Yes

Step-by-step explanation:

Given

• One angle and a side of one triangle are congruent to same on another triangle

• Also angle R is vertical and therefore equal for both triangles

We have two angles and included side congruence which is ASA