Answer:
The Proof for
MP ≅ No with Statements and Reasons is below.
Explanation:
Given:
MN || PO
MP || NO
To Prove:
MP≅NO
Proof:
Statements Reasons
1. MN || PO 1. Given.
2.∠NMO ≅ ∠POM 2. Alternate Angles are Equal since MN || PO.
3. MP || NO 3. Given.
4.∠PMO ≅ ∠NOM 4. Alternate Angles are Equal since MP || NO.
5. MO ≅ MO 5. Reflexive Property.
6. ΔMNO ≅ΔPOM 6. By A-S-A Congruence Postulate.
7. MP ≅ NO 7. CPCTC (Congruent Parts of Congruent Triangles are Congruent........Proved