It has been proven that QP ≅ RS by CPCTC(Corresponding Parts of Congruent Triangles are Congruent.)
How to carry out two column proof?
The two column proof to show that QP ≅ RS is as follows:
Statement 1: ∠QPS ≅ ∠RSP
Reason 1: Given
Statement 2: ∠PQS ≅ ∠SRP
Reason 2: Given
Statement 3: PS ≅ PS
Reason 3: Reflexive property of congruency
Statement 4: ΔPQS ≅ ΔSRP
Reason 4: AAS Congruence postulate
Statement 5: QP ≅ RS
Reason 5: CPCTC(Corresponding Parts of Congruent Triangles are Congruent.)