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determining if triangles are congruent. can △tsr and △qrs be proven con…

Question

determining if triangles are congruent. can △tsr and △qrs be proven congruent by sas? yes, because along with the given information on the diagram, sr ≅ rs by the reflexive property. yes, because p appears to be the midpoint of sq and tr. no, because not enough is information given to prove the triangles congruent by sas.

Explanation:

Step1: Identify SAS requirements

SAS needs two sides and included angle equal.

Step2: Check given parts

TS=QR=5in, ∠T=∠Q=66°, but no info on TR=QS.

Step3: Conclusion for SAS

Included angle's second sides (TR, QS) not proven equal.

Answer:

no, because not enough information given to prove the triangles congruent by SAS