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.

Is there enough information to prove that the triangles are congruent If yes provide the correct Triangle Congruence Postulate or Theorem and a congruence state class=

Respuesta :

Answer:

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

ASA POSTULATE

Step-by-step explanation:

[tex] In\:\triangle PQR \: and \triangle TSR\\[/tex]

[tex] \angle PQR \cong \angle TSR...(given) \\[/tex]

[tex] QR\cong SR..... (given) \\[/tex]

[tex] \angle PRQ \cong\angle TRS\\(Vertical \: \angle s) \\[/tex]

[tex] \therefore \triangle PQR \cong \triangle TSR\\(ASA\: postulate) [/tex]

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