Chapter 4.3, Problem 32E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 32 to 37, 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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