McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Question
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Chapter 3.6, Problem 18WE
To determine

Whether the given statement is true or false. Justify with a diagram.

Expert Solution & Answer
Check Mark

Answer to Problem 18WE

The angles opposite those sides are congruent is true.

Explanation of Solution

Given information:

Given statement:

A triangle has two congruent sides, then the angles opposite those sides are congruent.

Calculation:

Consider the following figure:

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 3.6, Problem 18WE

In above figure there is ΔABC

In which ABAC

To prove BC

Consider the definition is isosceles triangles,

Isosceles triangles are those whose two sides are congruent and also angle opposite to those two congruent sides are also congruent.

So according to above definitions,

If ABAC

Then ΔABC must be isosceles triangles

So it conclude that,

If ABAC then also BC

Therefore, if a triangle has two congruent sides, then the angles opposite those sides are congruent is true.

Chapter 3 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 3.1 - Prob. 11CECh. 3.1 - Prob. 12CECh. 3.1 - Prob. 13CECh. 3.1 - Prob. 14CECh. 3.1 - Prob. 15CECh. 3.1 - Prob. 16CECh. 3.1 - Prob. 17CECh. 3.1 - Prob. 18CECh. 3.1 - Prob. 19CECh. 3.1 - Prob. 1WECh. 3.1 - Prob. 2WECh. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 5WECh. 3.1 - Prob. 6WECh. 3.1 - Prob. 7WECh. 3.1 - Prob. 8WECh. 3.1 - Prob. 9WECh. 3.1 - Prob. 10WECh. 3.1 - Prob. 11WECh. 3.1 - Prob. 12WECh. 3.1 - Prob. 13WECh. 3.1 - Prob. 14WECh. 3.1 - Prob. 15WECh. 3.1 - Prob. 16WECh. 3.1 - Prob. 17WECh. 3.1 - Prob. 18WECh. 3.1 - Prob. 19WECh. 3.1 - Prob. 20WECh. 3.1 - Prob. 21WECh. 3.1 - Prob. 22WECh. 3.1 - Prob. 23WECh. 3.1 - Prob. 24WECh. 3.1 - Prob. 25WECh. 3.1 - Prob. 26WECh. 3.1 - Prob. 27WECh. 3.1 - Prob. 28WECh. 3.1 - Prob. 29WECh. 3.1 - Prob. 30WECh. 3.1 - Prob. 31WECh. 3.1 - Prob. 32WECh. 3.1 - Prob. 33WECh. 3.1 - Prob. 34WECh. 3.1 - Prob. 35WECh. 3.1 - Prob. 36WECh. 3.1 - Prob. 37WECh. 3.1 - Prob. 38WECh. 3.1 - Prob. 39WECh. 3.1 - Prob. 40WECh. 3.1 - Prob. 41WECh. 3.1 - 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Prob. 9CECh. 3.3 - Prob. 10CECh. 3.3 - Prob. 11CECh. 3.3 - Prob. 12CECh. 3.3 - Prob. 13CECh. 3.3 - Prob. 14CECh. 3.3 - Prob. 15CECh. 3.3 - Prob. 16CECh. 3.3 - Prob. 17CECh. 3.3 - Prob. 18CECh. 3.3 - Prob. 19CECh. 3.3 - Prob. 20CECh. 3.3 - Prob. 1WECh. 3.3 - Prob. 2WECh. 3.3 - Prob. 3WECh. 3.3 - Prob. 4WECh. 3.3 - Prob. 5WECh. 3.3 - Prob. 6WECh. 3.3 - Prob. 7WECh. 3.3 - Prob. 8WECh. 3.3 - Prob. 9WECh. 3.3 - Prob. 10WECh. 3.3 - Prob. 11WECh. 3.3 - Prob. 12WECh. 3.3 - Prob. 13WECh. 3.3 - Prob. 14WECh. 3.3 - Prob. 15WECh. 3.3 - Prob. 16WECh. 3.3 - Prob. 17WECh. 3.3 - Prob. 18WECh. 3.3 - Prob. 19WECh. 3.3 - Prob. 20WECh. 3.3 - Prob. 21WECh. 3.3 - Prob. 22WECh. 3.3 - Prob. 23WECh. 3.3 - Prob. 24WECh. 3.3 - Prob. 25WECh. 3.3 - Prob. 26WECh. 3.3 - Prob. 27WECh. 3.3 - Prob. 28WECh. 3.3 - Prob. 29WECh. 3.3 - Prob. 30WECh. 3.3 - Prob. 31WECh. 3.3 - Prob. 1ST1Ch. 3.3 - Prob. 2ST1Ch. 3.3 - Prob. 3ST1Ch. 3.3 - Prob. 4ST1Ch. 3.3 - Prob. 5ST1Ch. 3.3 - Prob. 6ST1Ch. 3.3 - Prob. 7ST1Ch. 3.3 - Prob. 8ST1Ch. 3.3 - Prob. 9ST1Ch. 3.3 - Prob. 10ST1Ch. 3.3 - Prob. 11ST1Ch. 3.3 - Prob. 12ST1Ch. 3.3 - Prob. 13ST1Ch. 3.3 - Prob. 14ST1Ch. 3.3 - Prob. 15ST1Ch. 3.3 - Prob. 16ST1Ch. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.4 - Prob. 1CECh. 3.4 - Prob. 2CECh. 3.4 - Prob. 3CECh. 3.4 - Prob. 4CECh. 3.4 - Prob. 5CECh. 3.4 - Prob. 6CECh. 3.4 - Prob. 7CECh. 3.4 - Prob. 8CECh. 3.4 - Prob. 9CECh. 3.4 - Prob. 10CECh. 3.4 - Prob. 11CECh. 3.4 - Prob. 12CECh. 3.4 - Prob. 13CECh. 3.4 - Prob. 14CECh. 3.4 - Prob. 15CECh. 3.4 - Prob. 16CECh. 3.4 - Prob. 17CECh. 3.4 - Prob. 1WECh. 3.4 - Prob. 2WECh. 3.4 - Prob. 3WECh. 3.4 - Prob. 4WECh. 3.4 - Prob. 5WECh. 3.4 - Prob. 6WECh. 3.4 - Prob. 7WECh. 3.4 - Prob. 8WECh. 3.4 - Prob. 9WECh. 3.4 - Prob. 10WECh. 3.4 - Prob. 11WECh. 3.4 - Prob. 12WECh. 3.4 - Prob. 13WECh. 3.4 - Prob. 14WECh. 3.4 - Prob. 15WECh. 3.4 - Prob. 16WECh. 3.4 - Prob. 17WECh. 3.4 - Prob. 18WECh. 3.4 - Prob. 19WECh. 3.4 - 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Prob. 28WECh. 3.6 - Prob. 1CECh. 3.6 - Prob. 2CECh. 3.6 - Prob. 3CECh. 3.6 - Prob. 4CECh. 3.6 - Prob. 5CECh. 3.6 - Prob. 6CECh. 3.6 - Prob. 1WECh. 3.6 - Prob. 2WECh. 3.6 - Prob. 3WECh. 3.6 - Prob. 4WECh. 3.6 - Prob. 5WECh. 3.6 - Prob. 6WECh. 3.6 - Prob. 7WECh. 3.6 - Prob. 8WECh. 3.6 - Prob. 9WECh. 3.6 - Prob. 10WECh. 3.6 - Prob. 11WECh. 3.6 - Prob. 12WECh. 3.6 - Prob. 13WECh. 3.6 - Prob. 14WECh. 3.6 - Prob. 15WECh. 3.6 - Prob. 16WECh. 3.6 - Prob. 17WECh. 3.6 - Prob. 18WECh. 3.6 - Prob. 19WECh. 3.6 - Prob. 20WECh. 3.6 - Prob. 21WECh. 3.6 - Prob. 22WECh. 3.6 - Prob. 23WECh. 3.6 - Prob. 24WECh. 3.6 - Prob. 25WECh. 3.6 - Prob. 26WECh. 3.6 - Prob. 27WECh. 3.6 - Prob. 28WECh. 3.6 - Prob. 29WECh. 3.6 - Prob. 30WECh. 3.6 - Prob. 1ST2Ch. 3.6 - Prob. 2ST2Ch. 3.6 - Prob. 3ST2Ch. 3.6 - Prob. 4ST2Ch. 3.6 - Prob. 5ST2Ch. 3.6 - Prob. 6ST2Ch. 3.6 - Prob. 7ST2Ch. 3.6 - Prob. 8ST2Ch. 3.6 - Prob. 9ST2Ch. 3.6 - Prob. 10ST2Ch. 3.6 - Prob. 11ST2Ch. 3.6 - Prob. 12ST2Ch. 3.6 - Prob. 13ST2Ch. 3.6 - Prob. 14ST2Ch. 3.6 - Prob. 15ST2Ch. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 19CRCh. 3 - Prob. 20CRCh. 3 - Prob. 21CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 1ARCh. 3 - Prob. 2ARCh. 3 - Prob. 3ARCh. 3 - Prob. 4ARCh. 3 - Prob. 5ARCh. 3 - Prob. 6ARCh. 3 - Prob. 7ARCh. 3 - Prob. 8ARCh. 3 - Prob. 9ARCh. 3 - Prob. 10ARCh. 3 - Prob. 11ARCh. 3 - Prob. 12ARCh. 3 - Prob. 13ARCh. 3 - Prob. 14ARCh. 3 - Prob. 15ARCh. 3 - Prob. 16ARCh. 3 - Prob. 17ARCh. 3 - Prob. 18ARCh. 3 - Prob. 19ARCh. 3 - Prob. 20ARCh. 3 - Prob. 21ARCh. 3 - Prob. 22ARCh. 3 - Prob. 23ARCh. 3 - Prob. 24ARCh. 3 - Prob. 25ARCh. 3 - Prob. 26ARCh. 3 - Prob. 27ARCh. 3 - Prob. 28ARCh. 3 - Prob. 29ARCh. 3 - Prob. 30ARCh. 3 - Prob. 31ARCh. 3 - Prob. 32ARCh. 3 - Prob. 33ARCh. 3 - Prob. 34ARCh. 3 - Prob. 35ARCh. 3 - Prob. 36ARCh. 3 - Prob. 37ARCh. 3 - Prob. 38ARCh. 3 - Prob. 39ARCh. 3 - Prob. 40ARCh. 3 - Prob. 1CURCh. 3 - Prob. 2CURCh. 3 - Prob. 3CURCh. 3 - Prob. 4CURCh. 3 - Prob. 5CURCh. 3 - Prob. 6CURCh. 3 - Prob. 7CURCh. 3 - Prob. 8CURCh. 3 - Prob. 9CURCh. 3 - Prob. 10CURCh. 3 - Prob. 11CURCh. 3 - Prob. 12CURCh. 3 - Prob. 13CURCh. 3 - Prob. 14CURCh. 3 - Prob. 15CURCh. 3 - Prob. 16CURCh. 3 - Prob. 17CURCh. 3 - Prob. 18CURCh. 3 - Prob. 19CURCh. 3 - Prob. 20CURCh. 3 - Prob. 21CURCh. 3 - Prob. 22CURCh. 3 - Prob. 23CURCh. 3 - Prob. 24CURCh. 3 - Prob. 25CURCh. 3 - Prob. 26CURCh. 3 - Prob. 27CURCh. 3 - Prob. 28CURCh. 3 - Prob. 29CURCh. 3 - Prob. 30CURCh. 3 - Prob. 31CURCh. 3 - Prob. 32CURCh. 3 - Prob. 33CURCh. 3 - Prob. 34CURCh. 3 - Prob. 35CURCh. 3 - Prob. 36CURCh. 3 - Prob. 37CURCh. 3 - Prob. 38CURCh. 3 - Prob. 39CURCh. 3 - Prob. 40CURCh. 3 - Prob. 41CURCh. 3 - Prob. 42CURCh. 3 - Prob. 43CURCh. 3 - Prob. 44CURCh. 3 - Prob. 45CURCh. 3 - Prob. 46CUR
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