Explanation:
Statements
Reasons
1. PQ || MN
1. Given
2. O is the midpoint of NP
2. Given
3. NO = OP
3. Definition of midpoint
4. ∠ZMO = ∠QOP
4. Alternate interior angles are congruent (corresponding angles of parallel lines)
5. ∠LNMO = ∠LPQO
5. Alternate interior angles are congruent (corresponding angles of parallel lines)
6. ΔMNO ≅ ΔPRO
6. Angle-side-angle (ASA) congruence theorem
7. AMNO ≅ AQPO
7. Corresponding parts of congruent triangles are congruent (CPCTC)