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

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

ASA POSTULATE

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

• Yes

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