Chapter 4.4, Problem 33E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In exercises 27 to 33, complete a formal proof.*

*Given:*

*Prove*:

*(HINT: Using theorem 4.4.7, show that M is the midpoint of *
*. For *
*apply theorem 4.2.5*)

To determine

**To Prove:**

Explanation

Consider the following diagram.

**Given:**

**Prove:**

**Plan:** Draw a transversal

Here,

We know that, three parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on any transversal.

It means

Therefore, M is the midpoint of

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