Question

Complete the proofs using the most appropriate method. may require CPCTC. *please help*

Answer 1

Answer:

The Proof for

MP ≅ No with Statements and Reasons is below.

Step-by-step 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