Chapter 4.4, Problem 33E

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In exercises 29 to 35, complete a formal proof.If three parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on any transversal.

To determine

To Prove:

If three parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on any transversal.

Explanation

Consider the following diagram.

Given: Parallel lines a||b||c cut by transversal t so that ABÂ¯â‰…BCÂ¯.

Prove: DEÂ¯â‰…EFÂ¯.

Plan: Through D and E draw DRÂ¯â€Šâ€Šâ€Š||ABâ†”â€Šandâ€Šâ€ŠESÂ¯||ABâ†”

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