Chapter 1.1, Problem 13E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 11 to 18, state the hypothesis and the conclusion of each statement.*

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

To determine

**To state:**

The hypothesis and conclusion of each statement.

Explanation

**Approach:**

Conditional Statement:

In logic, a conditional statement is a compound sentence that is usually expressed with the key words “If...then...”

If *P* and *Q* are simple statements, then a statement of the form “If *P*, then *Q*” is known as a conditional statement.

The word ‘then’ is optional, and a conditional will often not include ‘then’.

In the conditional statement “If *P*, then *Q*”:

*P* is the hypothesis which says the purpose of logic and *Q* is the conclusion...

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