It has been proven that MP ≅ ON by Congruent parts of congruent triangles are congruent.
How to solve Two Column proof?
The two column proof to show that MP ≅ ON is as follows:
Statement 1: MN ║ PO
Reason 1: Given
Statement 2: MP ║NO
Reason 2: Given
Statement 3: ∠PMO ≅ ∠NOM
Reason 3: Alternate angles
Statement 4: ∠POM ≅ ∠NMO
Reason 4: Alternate angles
Statement 5: MO ≅ MO
Reason 5: Reflexive property of congruency
Statement 6: ΔPMO ≅ ΔNOM
Reason 6: ASA Congruence Postulate
Statement 7: MP ≅ ON
Reason 7: CPCTC