/*! 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} Q21. Draw several diagrams to help yo... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q21. (page 108)

Draw several diagrams to help you decide whether each statement is true or false. If it is false, show a counterexample. It is true, draw and label a diagram you could use in a proof. List, in terms of the diagram, what is given and what is to be proved. Do not write a proof.

All diagonals of a regular pentagon are congruent.

Short Answer

Expert verified

The statement 鈥淎ll diagonals of a regular pentagon are congruent.鈥� Istrue.

Step by step solution

01

Step 1. Draw the diagram.

Draw regular pentagons namely VWXYZ, ABCDE and PQRST of different sizes respectively.

02

Step 2. Measure the diagonals.

Measure their diagonals to check if they are equal to each other or not.

(i)鈥夆赌�AC=AD=BE=BD=CD(ii)鈥夆赌�VY=XZ=WZ=WY=VX(iii)鈥�PS=PR=QS=RT=QT

03

Step 3. State the conclusion.

Since, the diagonals when measured of different types of regular polygons were equal to each other, therefore, it can be concluded that 鈥淎ll diagonals of a regular pentagon are congruent.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

If a鈭�b, name all angels that must be congruent to 鈭�1.

Classify each pair of angles as alternate interior, same side interior or corresponding angles

art

and

Find the values of xand y

Given: AS炉鈭�BT炉;m鈭�4=m鈭�5

Prove SA鈫�bisects 鈭�BSR

Find the values xof yand
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Pure Maths

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.