In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving SMRN, given RMSN and ∠MRS ∠NSR. Upload the entire proof below.

Given:
RM=SN
∠MRS =∠NSR

Prove:
SM=RN

Answer:

The complete two-column proof that proves that SM = RN, based on SAS and CPCTC, is given in the table shown in the attachment.

The SAS Congruence Theorem

If two sides of one triangle are congruent to the two corresponding sides of another triangle, and their included angles are also congruent, then both triangles can be proven to be congruent by the side-angle-side congruence theorem (SAS).

If two triangles are congruent, it means all their corresponding parts are congruent by the CPCTC Theorem.

Thus, the complete two-column proof that proves that SM = RN, based on SAS and CPCTC, is given in the table shown in the attachment.

Step-by-step explanation:

1. RM = SN

                                          1. Given

1. ∠MRS = ∠NSR

───────────────────────────────

2. RS = RS                          2. Reflexive Property

───────────────────────────────

3. △MRS ≈  ∠NSR            3. SAS

───────────────────────────────

4. SM = RN                        4. CPCTC

                            EXPLANATION

───────────────────────────────

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