/*! 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} Q7. What is the first sentence of an... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q7. (page 216)

What is the first sentence of an indirect proof of the statement shown?

CX炉 isn鈥檛 a median of 螖ABC.

Short Answer

Expert verified

The first sentence of an indirect proof of the statement 鈥�CX炉isn鈥檛 a median of 螖ABC鈥� is鈥淎ssume that CX炉is a median of 螖ABC鈥�.

Step by step solution

01

Step 1. Define concept of indirect proof of the statement

An indirect proof is a proof wherein you begin by assuming temporarily that the desired conclusion is not true which then by reasoning logically reaches to a certain contradiction or some other known fact.

02

Step 2. Steps of writing an indirect proof

1. Assume temporarily that the conclusion is not true.

2. Reason logically until you reach a contradiction.

3. Point out that the assumption was wrong and the conclusion must then be true.

03

Step 3. State the first sentence of indirect proof of the statement

Consider the following statement:CX炉isn鈥檛 a median of 螖ABC

In order to write out the first sentence of an indirect proof of this statement, state the temporary assumption that the given conclusion is not true.

Therefore, in this case, the first sentence to be used to write this proof is: 鈥淎ssume that CX炉is a median of 螖ABC鈥�.

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

Express the following statement in if-then form.

No trapezoids are equiangular.

Write the reasons that justify the statements.

Given: 鈻�ABC鈮�鈻�RST. Prove: localid="1637922009427" AK>RS

Suppose someone plans to write an indirect proof of each conditional. Write a correct first sentence of the indirect proof.

If DF炉鈮�RT炉, thenDE炉鈮�RS炉

For each statement in Ex 5-10 copy and complete a table like the one shown below.

Complete the following statement with the word always, sometimes, or never.

An altitude of a triangle is _____ median.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Decision 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.