Chapter 4.3, Problem 37E

### 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 parallelogram are perpendicular, the parallelogram is a rhombus.

To determine

To write:

A formal proof of the given theorem.

Explanation

Calculation:

Given: If the diagonals of parallelogram are perpendicular, the parallelogram is a rhombus.

Consider the parallelogram ABCD.

In â–³AOB and â–³AOD

AO = AO, âˆ AOB=âˆ AOD=90âˆ˜

BO = OD (the diagonals of parallelogram)

â‡’

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