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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=

Sagot :

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