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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

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

In Exercises 34 to 39, write a formal proof of each theorem.

If the diagonals of a parallelogram are congruent, the parallelogram is a rectangle.

To determine

To write:

A formal proof of the given theorem.

Explanation

Calculation:

Given: If the diagonals of parallelogram are congruent, the parallelogram is a rectangle.

Consider ABCD is a parallelogram with ACBD

Now,

ABC DCA

AC=AC,AD=BC (For parallelogram)

DC=AB By SSS

ABC=ADC and ∠<

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