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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section
BuyFindarrow_forward

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:

ABCD is a quadrilateral

AB¯CD¯,

AD¯BC¯

Prove:

ABCD is a parallelogram

Calculation:

PROOF
Statement Reason
1 ABCD is a quadrilateral,
AB¯CD¯,
AD¯BC¯
1

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