Question

Complete the proofs using the most appropriate method. may require CPCTC.

*please help*

Answer 1

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