Chapter 4.3, Problem 34E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

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

The diagonals of a square are perpendicular.

To determine

**To write:**

A formal proof of the given theorem.

Explanation

**Calculation:**

**Given:** The diagonals of a square are perpendicular.

The diagonals of a rhombus are always perpendicular to each other, and a square is essentially a rhombus.

Consider ABCD is a square.

O is the point of intersection of AC and BD.

R.T.P:

Proof:

In

AB = BC

OA = OC (Each diagonal of a parallelogram bisects the other)

OB = OB (Common)

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