   Chapter 4.CR, Problem 28CR ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# Review Exercises Given: ∆ F A B ≅ ∆ H C D ∆ E A D ≅ ∆ G C B Prove: A B C D is a ▱ To determine

To Prove:

The provided quadrilateral ABCD is a parallelogram.

Explanation

Proof:

Theorem on parallelogram:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Description:

It is given that EFGH is a quadrilateral with FABHCD and EADGCB.

Since FABHCD, its sides must be equal in measures. That is, FA=HC, AB=CD and BF=DH.

Since EADGCB, its sides must be equal in measures

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