Prove ΔPQR ≅ ΔSRQ Using SAS Congruence

Math Problem Statement

Given PQ ≅ SR, ∠PQR ≅ ∠SRQ, prove ΔPQR ≅ ΔSRQ.

Here is how the reasoning for this proof can be structured:

Statement: $PQ \cong SR$
Reason: Given.
Statement: $\angle PQR \cong \angle SRQ$
Reason: Given.
Statement: $QR \cong RQ$
Reason: Reflexive property of congruence (a segment is congruent to itself).
Statement: $\triangle PQR \cong \triangle SRQ$
Reason: SAS (Side-Angle-Side congruence criterion).

Would you like further clarification or details on any of the steps?

Drop file here or Click Here to upload

Congruence of Triangles
Geometric Proofs
SAS Congruence Criterion

SAS Congruence Criterion: Two sides and the included angle are congruent.

Reflexive Property of Congruence
SAS Congruence Theorem

Grades 9-10

Proving Triangle Congruence in Triangle RQT and PQS Using SAS

Proving Triangle Congruence: Which Postulate to Use for ΔMNP ≅ ΔQRS

Proving Triangle Congruence using Side-Angle-Side Theorem

Prove Triangle Congruence Using SAS: Triangles PQR and STR

Proving ΔTRS ≅ ΔQRP Using SAS Congruence Theorem