Chapter 4.3, Problem 36E

### 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 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 ACâ‰…BD

Now,

â–³ABCâ‰…Â â–³DCA

DC=ABâ‡’Â ByÂ SSS

âˆ ABC=âˆ ADCÂ andÂ âˆ <

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