/*! 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} Q9. Complete each sentence with the ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q9. (page 165)

Complete each sentence with the most appropriate word, phase or value.

If a diagonal of an equilateral is draw, the two triangles formed cab be proved congruent by the ________ method.

Short Answer

Expert verified

The answer is SSS Postulate.

Step by step solution

01

- Consider the diagram. 

Since, the quadrilateral is equilateral, so, all the sides are congruent:

PQ炉鈮�QS炉鈮�SR炉鈮�PR炉.

02

- State the explanation.

In the diagram, when the diagonal is draw, it divides the quadrilateral into two triangles, whose two sides are congruent and the remaining side is the diagonal, which is same for both.

In 螖PQR and 螖SQR:

PQ炉鈮�SQ炉QR炉鈮�QR炉PR炉鈮�SR炉

So, both the triangles are congruent by SSS postulate.

03

- State the conclusion.

Therefore,鈥淚f a diagonal of an equilateral is draw, the two triangles formed cab be proved congruent by the SSS Postulate 尘别迟丑辞诲.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

For the following figure, does the SAS postulates justify that the two triangles are congruent.

Suppose that 螖BIG鈮�螖CAT, then complete the following statement.

螖IGB鈮�__

In the following figure, the two-triangle shown are congruent. Then complete the following statement.

AO炉鈮�___

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to 螖ABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a two-column proof.

If a line perpendicular to AB炉passes through the midpoint of AB炉, and segments are drawn from any other point on that line to and , then two congruent triangles are formed.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Pure 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.