/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q34. Example 4 Find a counterexample ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q34. (page 57)

Example 4 Find a counterexample for each conditional statement.

If the four sides of a quadrilateral are congruent, then the shape is a square.

Short Answer

Expert verified

The statement that "if the four sides of a quadrilateral are congruent, then the shape is a square is not always true."

Step by step solution

01

Step 1. Given Statement.

If the four sides of a quadrilateral are congruent, then the shape is a square.

02

Step 2. Description of step.

To find a counterexample for the given statement.

It is given that four sides of a quadrilateral are congruent.

Since the four sides of a square are also congruent, hence the quadrilateral can be a square.

But the four sides of a rhombus are also congruent, then the quadrilateral may be rhombus also.

03

Step 3. Conclusion.

Therefore, the statement that "four sides of a quadrilateral are congruent, then the shape is a square is not always true."

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Evaluate each expression.

24梅6+23鈰�4

Is \(12 enough to buy a half gallon of milk for \)2.30, a bag of apples for \(3.99, and four cups of yogurt that cost \)0.79 each? Explain.

Evaluate each expression.

11鈰�7鈭�9鈰�8

Name the set or sets of numbers to which each real number belongs.

-22

William is using a 1.75-liter container to fill a 14-liter container of water. About how many times will he need to fill the smaller container?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.