Chapter 4.2, Problem 25E

### 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 25 to 28, write a formal proof of each theorem or corollary.If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

To determine

To write:

A formal proof of the theorem ‘if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram’.

Explanation

Formal proof,

Statement:

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

Drawing:

Given:

ABÂ¯â‰…CDÂ¯,

Prove:

ABCD is a parallelogram

Calculation:

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