The two column proof has shown that PQ ≅ RS because Congruent parts of congruent triangles are congruent
Two Column proof?
The two column proof to show that PQ ≅ RS is as follows:
Statement 1: QR ║ SP, RS ║ PQ
Reason 1: Given
Statement 2: ∠SPR ≅ ∠QRP
Reason 2: Alternate angles
Statement 3: ∠QPR ≅ ∠SRP
Reason 3: Alternate angles
Statement 4: PR ≅ PR
Reason 4: Reflexive property of congruence
Statement 5: ΔSPR ≅ ΔQPR
Reason 5: ASA Congruency postulate
Statement 6: PQ ≅ RS
Reason 6: Congruent parts of congruent triangles are congruent