Question

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving SM = RN, given RM = SN and ∠MRS = ∠NSR. Submit the entire proof to your instructor.Given:RM = SN∠MRS = ∠NSRProve:SM = RNSTATEMENTREASON1.1.2.2. Reflexive Property3.3.4.4.

Answer 1

Step-by-step explanation:

Given;

We are given two triangles labeled MRS and NSR.

Required;

We are required touse the information provided rto rove tside SM is equal to side RN.

Solution;

`RM=SN---Given`
`RS=SR---Reflexive\text{ }property`
`\angle MRS=\angle NSR---Congruent\text{ }angles`
`\begin{gathered} \Delta MRS\cong\Delta NSR---SAS \\ \end{gathered}`

If two sides and the included angle of one triangle are congruent to the corresponding parts of a second triangle, then we can conclude that both triangles are congruent.

Therefore;

`SM=RN`