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
Chapter 4.1, Problem 23WE
To determine
To check: Whether congruent
Expert Solution & Answer
Answer to Problem 23WE
Yes, congruence of triangles have the reflexive property, symmetric property and transitive property.
Explanation of Solution
Given Information: Congruent triangles.
Calculations:
If two triangles have their corresponding sides and
Reflexive property of congruence states that any shape is congruent to itself.
As a triangle is congruent to itself, triangles have reflexive property.
Symmetric property of congruence states that if A is congruent to B then B is congruent to A.
Let ABC and PQR be two triangles such that ABC is congruent to PQR then PQR is also congruent to ABC also.
So, triangles have symmetric property
Transitive property of congruence states that if A is congruent to B, B is congruent to C then A is congruent to C.
Let ABC, PQR and UVW be triangles such that ABC is congruent to PQR, PQR is congruent to UVW then ABC is also congruent to UVW
So, triangles have transitive property.
Thus, congruent triangles have reflexive, symmetric and transitive property.
Chapter 4 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Ch. 4.1 - Prob. 1CECh. 4.1 - Prob. 2CECh. 4.1 - Prob. 3CECh. 4.1 - Prob. 4CECh. 4.1 - Prob. 5CECh. 4.1 - Prob. 6CECh. 4.1 - Prob. 7CECh. 4.1 - Prob. 8CECh. 4.1 - Prob. 9CECh. 4.1 - Prob. 10CE
Ch. 4.1 - Prob. 11CECh. 4.1 - Prob. 12CECh. 4.1 - Prob. 13CECh. 4.1 - Prob. 14CECh. 4.1 - Prob. 15CECh. 4.1 - Prob. 16CECh. 4.1 - Prob. 17CECh. 4.1 - Prob. 18CECh. 4.1 - Prob. 19CECh. 4.1 - Prob. 20CECh. 4.1 - Prob. 1WECh. 4.1 - Prob. 2WECh. 4.1 - Prob. 3WECh. 4.1 - Prob. 4WECh. 4.1 - Prob. 5WECh. 4.1 - Prob. 6WECh. 4.1 - Prob. 7WECh. 4.1 - Prob. 8WECh. 4.1 - Prob. 9WECh. 4.1 - Prob. 10WECh. 4.1 - Prob. 11WECh. 4.1 - Prob. 12WECh. 4.1 - Prob. 13WECh. 4.1 - Prob. 14WECh. 4.1 - Prob. 15WECh. 4.1 - Prob. 16WECh. 4.1 - Prob. 17WECh. 4.1 - Prob. 18WECh. 4.1 - Prob. 19WECh. 4.1 - Prob. 20WECh. 4.1 - Prob. 21WECh. 4.1 - Prob. 22WECh. 4.1 - Prob. 23WECh. 4.1 - Prob. 24WECh. 4.1 - Prob. 1MRECh. 4.1 - Prob. 2MRECh. 4.2 - Prob. 1CECh. 4.2 - Prob. 2CECh. 4.2 - Prob. 3CECh. 4.2 - Prob. 4CECh. 4.2 - Prob. 5CECh. 4.2 - Prob. 6CECh. 4.2 - Prob. 7CECh. 4.2 - Prob. 8CECh. 4.2 - Prob. 9CECh. 4.2 - Prob. 10CECh. 4.2 - Prob. 11CECh. 4.2 - Prob. 1WECh. 4.2 - Prob. 2WECh. 4.2 - Prob. 3WECh. 4.2 - Prob. 4WECh. 4.2 - Prob. 5WECh. 4.2 - Prob. 6WECh. 4.2 - Prob. 7WECh. 4.2 - Prob. 8WECh. 4.2 - Prob. 9WECh. 4.2 - Prob. 10WECh. 4.2 - Prob. 11WECh. 4.2 - Prob. 12WECh. 4.2 - Prob. 13WECh. 4.2 - Prob. 14WECh. 4.2 - Prob. 15WECh. 4.2 - Prob. 16WECh. 4.2 - Prob. 17WECh. 4.2 - Prob. 18WECh. 4.2 - Prob. 19WECh. 4.2 - Prob. 20WECh. 4.2 - Prob. 21WECh. 4.2 - Prob. 22WECh. 4.2 - Prob. 23WECh. 4.2 - Prob. 24WECh. 4.2 - Prob. 25WECh. 4.2 - Prob. 26WECh. 4.2 - Prob. 27WECh. 4.3 - Prob. 1CECh. 4.3 - Prob. 2CECh. 4.3 - Prob. 3CECh. 4.3 - Prob. 4CECh. 4.3 - Prob. 5CECh. 4.3 - Prob. 6CECh. 4.3 - Prob. 1WECh. 4.3 - Prob. 2WECh. 4.3 - Prob. 3WECh. 4.3 - Prob. 4WECh. 4.3 - Prob. 5WECh. 4.3 - Prob. 6WECh. 4.3 - Prob. 7WECh. 4.3 - Prob. 8WECh. 4.3 - Prob. 9WECh. 4.3 - Prob. 10WECh. 4.3 - Prob. 11WECh. 4.3 - Prob. 12WECh. 4.3 - Prob. 13WECh. 4.3 - Prob. 14WECh. 4.3 - Prob. 15WECh. 4.3 - Prob. 16WECh. 4.3 - Prob. 1ST1Ch. 4.3 - Prob. 2ST1Ch. 4.3 - Prob. 3ST1Ch. 4.3 - Prob. 4ST1Ch. 4.3 - Prob. 5ST1Ch. 4.3 - Prob. 6ST1Ch. 4.3 - Prob. 7ST1Ch. 4.3 - Prob. 8ST1Ch. 4.4 - Prob. 1CECh. 4.4 - Prob. 2CECh. 4.4 - Prob. 3CECh. 4.4 - Prob. 4CECh. 4.4 - Prob. 5CECh. 4.4 - Prob. 6CECh. 4.4 - Prob. 7CECh. 4.4 - Prob. 8CECh. 4.4 - Prob. 9CECh. 4.4 - Prob. 10CECh. 4.4 - Prob. 11CECh. 4.4 - Prob. 12CECh. 4.4 - Prob. 1WECh. 4.4 - Prob. 2WECh. 4.4 - Prob. 3WECh. 4.4 - Prob. 4WECh. 4.4 - Prob. 5WECh. 4.4 - Prob. 6WECh. 4.4 - Prob. 7WECh. 4.4 - Prob. 8WECh. 4.4 - Prob. 9WECh. 4.4 - Prob. 10WECh. 4.4 - Prob. 11WECh. 4.4 - Prob. 12WECh. 4.4 - Prob. 13WECh. 4.4 - Prob. 14WECh. 4.4 - Prob. 15WECh. 4.4 - Prob. 16WECh. 4.4 - Prob. 17WECh. 4.4 - Prob. 18WECh. 4.4 - Prob. 19WECh. 4.4 - Prob. 20WECh. 4.4 - Prob. 21WECh. 4.4 - Prob. 22WECh. 4.4 - Prob. 23WECh. 4.4 - Prob. 24WECh. 4.4 - Prob. 25WECh. 4.4 - Prob. 26WECh. 4.4 - Prob. 27WECh. 4.4 - Prob. 28WECh. 4.4 - Prob. 29WECh. 4.4 - Prob. 30WECh. 4.4 - Prob. 31WECh. 4.4 - Prob. 32WECh. 4.4 - Prob. 33WECh. 4.4 - Prob. 34WECh. 4.5 - Prob. 1CECh. 4.5 - Prob. 2CECh. 4.5 - Prob. 3CECh. 4.5 - Prob. 4CECh. 4.5 - Prob. 5CECh. 4.5 - Prob. 6CECh. 4.5 - Prob. 7CECh. 4.5 - Prob. 8CECh. 4.5 - Prob. 9CECh. 4.5 - Prob. 10CECh. 4.5 - Prob. 11CECh. 4.5 - Prob. 12CECh. 4.5 - Prob. 13CECh. 4.5 - Prob. 14CECh. 4.5 - Prob. 1WECh. 4.5 - Prob. 2WECh. 4.5 - Prob. 3WECh. 4.5 - Prob. 4WECh. 4.5 - Prob. 5WECh. 4.5 - Prob. 6WECh. 4.5 - Prob. 7WECh. 4.5 - Prob. 8WECh. 4.5 - Prob. 9WECh. 4.5 - Prob. 10WECh. 4.5 - Prob. 11WECh. 4.5 - Prob. 12WECh. 4.5 - Prob. 13WECh. 4.5 - Prob. 14WECh. 4.5 - Prob. 15WECh. 4.5 - Prob. 16WECh. 4.5 - Prob. 17WECh. 4.5 - Prob. 18WECh. 4.5 - Prob. 19WECh. 4.5 - Prob. 20WECh. 4.5 - Prob. 21WECh. 4.5 - Prob. 22WECh. 4.5 - Prob. 1ST2Ch. 4.5 - Prob. 2ST2Ch. 4.5 - Prob. 3ST2Ch. 4.5 - Prob. 4ST2Ch. 4.5 - Prob. 5ST2Ch. 4.6 - Prob. 1CECh. 4.6 - Prob. 2CECh. 4.6 - Prob. 3CECh. 4.6 - Prob. 4CECh. 4.6 - Prob. 1WECh. 4.6 - Prob. 2WECh. 4.6 - Prob. 3WECh. 4.6 - Prob. 4WECh. 4.6 - Prob. 5WECh. 4.6 - Prob. 6WECh. 4.6 - Prob. 7WECh. 4.6 - Prob. 8WECh. 4.6 - Prob. 9WECh. 4.6 - Prob. 10WECh. 4.6 - Prob. 11WECh. 4.6 - Prob. 12WECh. 4.6 - Prob. 13WECh. 4.6 - Prob. 14WECh. 4.6 - Prob. 15WECh. 4.6 - Prob. 16WECh. 4.6 - Prob. 17WECh. 4.6 - Prob. 1MRECh. 4.6 - Prob. 2MRECh. 4.6 - Prob. 3MRECh. 4.6 - Prob. 4MRECh. 4.6 - Prob. 5MRECh. 4.6 - Prob. 6MRECh. 4.6 - Prob. 7MRECh. 4.6 - Prob. 8MRECh. 4.6 - Prob. 9MRECh. 4.6 - Prob. 10MRECh. 4.6 - Prob. 11MRECh. 4.7 - Prob. 1CECh. 4.7 - Prob. 2CECh. 4.7 - Prob. 3CECh. 4.7 - Prob. 4CECh. 4.7 - Prob. 5CECh. 4.7 - Prob. 6CECh. 4.7 - Prob. 7CECh. 4.7 - Prob. 8CECh. 4.7 - Prob. 9CECh. 4.7 - Prob. 10CECh. 4.7 - Prob. 11CECh. 4.7 - Prob. 1WECh. 4.7 - Prob. 2WECh. 4.7 - Prob. 3WECh. 4.7 - Prob. 4WECh. 4.7 - Prob. 5WECh. 4.7 - Prob. 6WECh. 4.7 - Prob. 7WECh. 4.7 - Prob. 8WECh. 4.7 - Prob. 9WECh. 4.7 - Prob. 10WECh. 4.7 - Prob. 11WECh. 4.7 - Prob. 12WECh. 4.7 - Prob. 13WECh. 4.7 - Prob. 14WECh. 4.7 - Prob. 15WECh. 4.7 - Prob. 16WECh. 4.7 - Prob. 17WECh. 4.7 - Prob. 18WECh. 4.7 - Prob. 19WECh. 4.7 - Prob. 20WECh. 4.7 - Prob. 21WECh. 4.7 - Prob. 22WECh. 4.7 - Prob. 23WECh. 4.7 - Prob. 24WECh. 4.7 - Prob. 25WECh. 4.7 - Prob. 26WECh. 4.7 - Prob. 27WECh. 4.7 - Prob. 28WECh. 4.7 - Prob. 29WECh. 4.7 - Prob. 1ST3Ch. 4.7 - Prob. 2ST3Ch. 4.7 - Prob. 3ST3Ch. 4.7 - Prob. 4ST3Ch. 4.7 - Prob. 5ST3Ch. 4.7 - Prob. 6ST3Ch. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 12CTCh. 4 - Prob. 13CTCh. 4 - Prob. 14CTCh. 4 - Prob. 15CTCh. 4 - Prob. 16CTCh. 4 - Prob. 17CTCh. 4 - Prob. 18CTCh. 4 - Prob. 19CTCh. 4 - Prob. 20CTCh. 4 - Prob. 1ARCh. 4 - Prob. 2ARCh. 4 - Prob. 3ARCh. 4 - Prob. 4ARCh. 4 - Prob. 5ARCh. 4 - Prob. 6ARCh. 4 - Prob. 7ARCh. 4 - Prob. 8ARCh. 4 - Prob. 9ARCh. 4 - Prob. 10ARCh. 4 - Prob. 11ARCh. 4 - Prob. 12ARCh. 4 - Prob. 13ARCh. 4 - Prob. 14ARCh. 4 - Prob. 15ARCh. 4 - Prob. 16ARCh. 4 - Prob. 17ARCh. 4 - Prob. 18ARCh. 4 - Prob. 19ARCh. 4 - Prob. 20ARCh. 4 - Prob. 21ARCh. 4 - Prob. 22ARCh. 4 - Prob. 23ARCh. 4 - Prob. 24ARCh. 4 - Prob. 25ARCh. 4 - Prob. 26ARCh. 4 - Prob. 27ARCh. 4 - Prob. 28ARCh. 4 - Prob. 29ARCh. 4 - Prob. 30ARCh. 4 - Prob. 31ARCh. 4 - Prob. 32ARCh. 4 - Prob. 33ARCh. 4 - Prob. 1CURCh. 4 - Prob. 2CURCh. 4 - Prob. 3CURCh. 4 - Prob. 4CURCh. 4 - Prob. 5CURCh. 4 - Prob. 6CURCh. 4 - Prob. 7CURCh. 4 - Prob. 8CURCh. 4 - Prob. 9CURCh. 4 - Prob. 10CURCh. 4 - Prob. 11CURCh. 4 - Prob. 12CURCh. 4 - Prob. 13CURCh. 4 - Prob. 14CURCh. 4 - Prob. 15CURCh. 4 - Prob. 16CURCh. 4 - Prob. 17CURCh. 4 - Prob. 18CUR
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