   Chapter 4.CR, Problem 28CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

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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