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 andMRSNSR. Upload the entire proof below. Given: RMSN MRSNSR Prove: SMRN STATEMENT REASON 1. 1. 2. 2. Reflexive Property 3. 3. 4. 4.

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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 andMRSNSR Upload the entire class=

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Answer:

STATEMENT                                       REASON

1.      RM = SN    

∠  MRS = ∠NSR                                 1.  Given

2.   RS  =  RS                                          2. Reflexive Property

3.   MR = NS

RS = RS                                                  3. SSS Postulate

4.  SM = RN                                            4. Proof

Step-by-step explanation:

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.

Learn more about SSS Congruence Theorem on:

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