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Which triangles are congruent according to the SAS criterion?

 ABC

 and   LMN
 LMN  and   FGE
 LMN ,   FGE , and   PQR
 FGE  and   PQR
 ABC ,   FGE , and   PQR
Which triangles are congruent according to the SAS criterion? ABC and LMN LMN and-example-1
User Danijoo
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2 Answers

7 votes
it the last option for the answer
User Marcel Klehr
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4 votes

SAS criterion: If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

From the diagram you can see that


\angle A\cong \angle F\cong \angle P,\\AB\cong GF\cong PQ,\\AC\cong FE\cong PR.

This means that ΔABC, ΔFGE and ΔPQR are congruent, so last option is correct.

User Jihee
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8.3k points