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 11.7, Problem 31WE
To determine
To determine the relation of the six
Expert Solution & Answer
Answer to Problem 31WE
All the triangles are congruent by SAS property.
The area of all the triangles is same.
Explanation of Solution
Given information :
A triangle is given with three medians.
We know that the centroid of a triangle is point formed by all three medians.
Centroid of a triangle divides the median in ratio 2:1.
Hence we have drawn a figure.
Here we may observe that the
Hence we can say that all the triangles are congruent by SAS property.
Hence the area of all the triangles is same.
Chapter 11 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Ch. 11.1 - Prob. 1CECh. 11.1 - Prob. 2CECh. 11.1 - Prob. 3CECh. 11.1 - Prob. 4CECh. 11.1 - Prob. 5CECh. 11.1 - Prob. 6CECh. 11.1 - Prob. 7CECh. 11.1 - Prob. 8CECh. 11.1 - Prob. 9CECh. 11.1 - Prob. 10CE
Ch. 11.1 - Prob. 11CECh. 11.1 - Prob. 12CECh. 11.1 - Prob. 13CECh. 11.1 - Prob. 14CECh. 11.1 - Prob. 15CECh. 11.1 - Prob. 1WECh. 11.1 - Prob. 2WECh. 11.1 - Prob. 3WECh. 11.1 - Prob. 4WECh. 11.1 - Prob. 5WECh. 11.1 - Prob. 6WECh. 11.1 - Prob. 7WECh. 11.1 - Prob. 8WECh. 11.1 - Prob. 9WECh. 11.1 - Prob. 10WECh. 11.1 - Prob. 11WECh. 11.1 - Prob. 12WECh. 11.1 - Prob. 13WECh. 11.1 - Prob. 14WECh. 11.1 - Prob. 15WECh. 11.1 - Prob. 16WECh. 11.1 - Prob. 17WECh. 11.1 - Prob. 18WECh. 11.1 - Prob. 19WECh. 11.1 - Prob. 20WECh. 11.1 - Prob. 21WECh. 11.1 - Prob. 22WECh. 11.1 - Prob. 23WECh. 11.1 - Prob. 24WECh. 11.1 - Prob. 25WECh. 11.1 - Prob. 26WECh. 11.1 - Prob. 27WECh. 11.1 - Prob. 28WECh. 11.1 - Prob. 29WECh. 11.1 - Prob. 30WECh. 11.1 - Prob. 31WECh. 11.1 - Prob. 32WECh. 11.1 - Prob. 33WECh. 11.1 - Prob. 34WECh. 11.1 - Prob. 35WECh. 11.1 - Prob. 36WECh. 11.1 - Prob. 37WECh. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.2 - Prob. 1CECh. 11.2 - Prob. 2CECh. 11.2 - Prob. 3CECh. 11.2 - Prob. 4CECh. 11.2 - Prob. 5CECh. 11.2 - Prob. 6CECh. 11.2 - Prob. 7CECh. 11.2 - Prob. 8CECh. 11.2 - Prob. 9CECh. 11.2 - Prob. 1WECh. 11.2 - Prob. 2WECh. 11.2 - Prob. 3WECh. 11.2 - Prob. 4WECh. 11.2 - Prob. 5WECh. 11.2 - Prob. 6WECh. 11.2 - Prob. 7WECh. 11.2 - Prob. 8WECh. 11.2 - Prob. 9WECh. 11.2 - Prob. 10WECh. 11.2 - Prob. 11WECh. 11.2 - Prob. 12WECh. 11.2 - Prob. 13WECh. 11.2 - Prob. 14WECh. 11.2 - Prob. 15WECh. 11.2 - Prob. 16WECh. 11.2 - Prob. 17WECh. 11.2 - Prob. 18WECh. 11.2 - Prob. 19WECh. 11.2 - Prob. 20WECh. 11.2 - Prob. 21WECh. 11.2 - Prob. 22WECh. 11.2 - Prob. 23WECh. 11.2 - Prob. 24WECh. 11.2 - Prob. 25WECh. 11.2 - Prob. 26WECh. 11.2 - Prob. 27WECh. 11.2 - Prob. 28WECh. 11.2 - Prob. 29WECh. 11.2 - Prob. 30WECh. 11.2 - Prob. 31WECh. 11.2 - Prob. 32WECh. 11.2 - Prob. 33WECh. 11.2 - Prob. 34WECh. 11.2 - Prob. 35WECh. 11.2 - Prob. 36WECh. 11.2 - Prob. 37WECh. 11.2 - Prob. 38WECh. 11.2 - Prob. 39WECh. 11.2 - Prob. 40WECh. 11.2 - Prob. 41WECh. 11.2 - Prob. 42WECh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Prob. 10ECh. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.3 - Prob. 1CECh. 11.3 - Prob. 2CECh. 11.3 - Prob. 3CECh. 11.3 - Prob. 4CECh. 11.3 - Prob. 5CECh. 11.3 - Prob. 6CECh. 11.3 - Prob. 7CECh. 11.3 - Prob. 8CECh. 11.3 - Prob. 9CECh. 11.3 - Prob. 10CECh. 11.3 - Prob. 1WECh. 11.3 - Prob. 2WECh. 11.3 - Prob. 3WECh. 11.3 - Prob. 4WECh. 11.3 - Prob. 5WECh. 11.3 - Prob. 6WECh. 11.3 - Prob. 7WECh. 11.3 - Prob. 8WECh. 11.3 - Prob. 9WECh. 11.3 - Prob. 10WECh. 11.3 - Prob. 11WECh. 11.3 - Prob. 12WECh. 11.3 - Prob. 13WECh. 11.3 - Prob. 14WECh. 11.3 - Prob. 15WECh. 11.3 - Prob. 16WECh. 11.3 - Prob. 17WECh. 11.3 - Prob. 18WECh. 11.3 - Prob. 19WECh. 11.3 - Prob. 20WECh. 11.3 - Prob. 21WECh. 11.3 - Prob. 22WECh. 11.3 - Prob. 23WECh. 11.3 - Prob. 24WECh. 11.3 - Prob. 25WECh. 11.3 - Prob. 26WECh. 11.3 - Prob. 27WECh. 11.3 - Prob. 28WECh. 11.3 - Prob. 29WECh. 11.3 - Prob. 30WECh. 11.3 - Prob. 31WECh. 11.3 - Prob. 32WECh. 11.3 - Prob. 33WECh. 11.3 - Prob. 34WECh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 1MRECh. 11.3 - Prob. 2MRECh. 11.3 - Prob. 3MRECh. 11.3 - Prob. 4MRECh. 11.3 - Prob. 5MRECh. 11.3 - Prob. 6MRECh. 11.3 - Prob. 7MRECh. 11.3 - Prob. 8MRECh. 11.4 - Prob. 1CECh. 11.4 - Prob. 2CECh. 11.4 - Prob. 3CECh. 11.4 - Prob. 4CECh. 11.4 - Prob. 5CECh. 11.4 - Prob. 6CECh. 11.4 - Prob. 7CECh. 11.4 - Prob. 8CECh. 11.4 - Prob. 9CECh. 11.4 - Prob. 1WECh. 11.4 - Prob. 2WECh. 11.4 - Prob. 3WECh. 11.4 - Prob. 4WECh. 11.4 - Prob. 5WECh. 11.4 - Prob. 6WECh. 11.4 - Prob. 7WECh. 11.4 - Prob. 8WECh. 11.4 - Prob. 9WECh. 11.4 - Prob. 10WECh. 11.4 - Prob. 11WECh. 11.4 - Prob. 12WECh. 11.4 - Prob. 13WECh. 11.4 - Prob. 14WECh. 11.4 - Prob. 15WECh. 11.4 - Prob. 16WECh. 11.4 - Prob. 17WECh. 11.4 - Prob. 18WECh. 11.4 - Prob. 19WECh. 11.4 - Prob. 20WECh. 11.4 - Prob. 21WECh. 11.4 - Prob. 22WECh. 11.4 - Prob. 1ST1Ch. 11.4 - Prob. 2ST1Ch. 11.4 - Prob. 3ST1Ch. 11.4 - Prob. 4ST1Ch. 11.4 - Prob. 5ST1Ch. 11.4 - Prob. 6ST1Ch. 11.4 - Prob. 7ST1Ch. 11.4 - Prob. 8ST1Ch. 11.4 - Prob. 9ST1Ch. 11.4 - Prob. 10ST1Ch. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.5 - Prob. 1CECh. 11.5 - Prob. 2CECh. 11.5 - Prob. 3CECh. 11.5 - Prob. 4CECh. 11.5 - Prob. 5CECh. 11.5 - Prob. 6CECh. 11.5 - Prob. 7CECh. 11.5 - Prob. 8CECh. 11.5 - Prob. 9CECh. 11.5 - Prob. 10CECh. 11.5 - Prob. 11CECh. 11.5 - Prob. 12CECh. 11.5 - Prob. 13CECh. 11.5 - Prob. 14CECh. 11.5 - Prob. 1WECh. 11.5 - Prob. 2WECh. 11.5 - Prob. 3WECh. 11.5 - Prob. 4WECh. 11.5 - Prob. 5WECh. 11.5 - Prob. 6WECh. 11.5 - Prob. 7WECh. 11.5 - Prob. 8WECh. 11.5 - Prob. 9WECh. 11.5 - Prob. 10WECh. 11.5 - Prob. 11WECh. 11.5 - Prob. 12WECh. 11.5 - Prob. 13WECh. 11.5 - Prob. 14WECh. 11.5 - Prob. 15WECh. 11.5 - Prob. 16WECh. 11.5 - Prob. 17WECh. 11.5 - Prob. 18WECh. 11.5 - Prob. 19WECh. 11.5 - Prob. 20WECh. 11.5 - Prob. 21WECh. 11.5 - Prob. 22WECh. 11.5 - Prob. 23WECh. 11.5 - Prob. 24WECh. 11.5 - Prob. 25WECh. 11.5 - Prob. 26WECh. 11.5 - Prob. 27WECh. 11.5 - Prob. 28WECh. 11.5 - Prob. 29WECh. 11.5 - Prob. 30WECh. 11.5 - Prob. 31WECh. 11.5 - Prob. 32WECh. 11.5 - Prob. 33WECh. 11.5 - Prob. 34WECh. 11.5 - Prob. 35WECh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Prob. 1ARCh. 11.5 - Prob. 2ARCh. 11.5 - Prob. 3ARCh. 11.5 - Prob. 4ARCh. 11.5 - Prob. 5ARCh. 11.5 - Prob. 6ARCh. 11.5 - Prob. 7ARCh. 11.5 - Prob. 8ARCh. 11.6 - Prob. 1CECh. 11.6 - Prob. 2CECh. 11.6 - Prob. 3CECh. 11.6 - Prob. 4CECh. 11.6 - Prob. 5CECh. 11.6 - Prob. 6CECh. 11.6 - Prob. 7CECh. 11.6 - Prob. 1WECh. 11.6 - Prob. 2WECh. 11.6 - Prob. 3WECh. 11.6 - Prob. 4WECh. 11.6 - Prob. 5WECh. 11.6 - Prob. 6WECh. 11.6 - Prob. 7WECh. 11.6 - Prob. 8WECh. 11.6 - Prob. 9WECh. 11.6 - Prob. 10WECh. 11.6 - Prob. 11WECh. 11.6 - Prob. 12WECh. 11.6 - Prob. 13WECh. 11.6 - Prob. 14WECh. 11.6 - Prob. 15WECh. 11.6 - Prob. 16WECh. 11.6 - Prob. 17WECh. 11.6 - Prob. 18WECh. 11.6 - Prob. 19WECh. 11.6 - Prob. 20WECh. 11.6 - Prob. 21WECh. 11.6 - Prob. 22WECh. 11.6 - Prob. 23WECh. 11.6 - Prob. 24WECh. 11.6 - Prob. 25WECh. 11.6 - Prob. 26WECh. 11.6 - Prob. 27WECh. 11.6 - Prob. 28WECh. 11.6 - Prob. 29WECh. 11.6 - Prob. 30WECh. 11.7 - Prob. 1CECh. 11.7 - Prob. 2CECh. 11.7 - Prob. 3CECh. 11.7 - Prob. 4CECh. 11.7 - Prob. 5CECh. 11.7 - Prob. 6CECh. 11.7 - Prob. 7CECh. 11.7 - Prob. 8CECh. 11.7 - Prob. 9CECh. 11.7 - Prob. 10CECh. 11.7 - Prob. 11CECh. 11.7 - Prob. 12CECh. 11.7 - Prob. 13CECh. 11.7 - Prob. 14CECh. 11.7 - Prob. 15CECh. 11.7 - Prob. 1WECh. 11.7 - Prob. 2WECh. 11.7 - Prob. 3WECh. 11.7 - Prob. 4WECh. 11.7 - Prob. 5WECh. 11.7 - Prob. 6WECh. 11.7 - Prob. 7WECh. 11.7 - Prob. 8WECh. 11.7 - Prob. 9WECh. 11.7 - Prob. 10WECh. 11.7 - Prob. 11WECh. 11.7 - Prob. 12WECh. 11.7 - Prob. 13WECh. 11.7 - Prob. 14WECh. 11.7 - Prob. 15WECh. 11.7 - Prob. 16WECh. 11.7 - Prob. 17WECh. 11.7 - Prob. 18WECh. 11.7 - Prob. 19WECh. 11.7 - Prob. 20WECh. 11.7 - Prob. 21WECh. 11.7 - Prob. 22WECh. 11.7 - Prob. 23WECh. 11.7 - Prob. 24WECh. 11.7 - Prob. 25WECh. 11.7 - Prob. 26WECh. 11.7 - Prob. 27WECh. 11.7 - Prob. 28WECh. 11.7 - Prob. 29WECh. 11.7 - Prob. 30WECh. 11.7 - Prob. 31WECh. 11.7 - Prob. 32WECh. 11.8 - Prob. 1CECh. 11.8 - Prob. 2CECh. 11.8 - Prob. 3CECh. 11.8 - Prob. 4CECh. 11.8 - Prob. 1WECh. 11.8 - Prob. 2WECh. 11.8 - Prob. 3WECh. 11.8 - Prob. 4WECh. 11.8 - Prob. 5WECh. 11.8 - Prob. 6WECh. 11.8 - Prob. 7WECh. 11.8 - Prob. 8WECh. 11.8 - Prob. 9WECh. 11.8 - Prob. 10WECh. 11.8 - Prob. 11WECh. 11.8 - Prob. 12WECh. 11.8 - Prob. 13WECh. 11.8 - Prob. 14WECh. 11.8 - Prob. 15WECh. 11.8 - Prob. 16WECh. 11.8 - Prob. 17WECh. 11.8 - Prob. 1ST2Ch. 11.8 - Prob. 2ST2Ch. 11.8 - Prob. 3ST2Ch. 11.8 - Prob. 4ST2Ch. 11.8 - Prob. 5ST2Ch. 11.8 - Prob. 6ST2Ch. 11.8 - Prob. 7ST2Ch. 11.8 - Prob. 8ST2Ch. 11.8 - Prob. 9ST2Ch. 11.8 - Prob. 10ST2Ch. 11.8 - Prob. 1AECh. 11.8 - Prob. 2AECh. 11.8 - Prob. 3AECh. 11.8 - Prob. 4AECh. 11.8 - Prob. 5AECh. 11.8 - Prob. 6AECh. 11.8 - Prob. 7AECh. 11.8 - Prob. 8AECh. 11.8 - Prob. 1BECh. 11.8 - Prob. 2BECh. 11.8 - Prob. 3BECh. 11.8 - Prob. 4BECh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 14CRCh. 11 - Prob. 15CRCh. 11 - Prob. 16CRCh. 11 - Prob. 17CRCh. 11 - Prob. 18CRCh. 11 - Prob. 19CRCh. 11 - Prob. 20CRCh. 11 - Prob. 21CRCh. 11 - Prob. 22CRCh. 11 - Prob. 23CRCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - Prob. 8CTCh. 11 - Prob. 9CTCh. 11 - Prob. 10CTCh. 11 - Prob. 11CTCh. 11 - Prob. 12CTCh. 11 - Prob. 13CTCh. 11 - Prob. 14CTCh. 11 - Prob. 15CTCh. 11 - Prob. 16CTCh. 11 - Prob. 17CTCh. 11 - Prob. 18CTCh. 11 - Prob. 19CTCh. 11 - Prob. 20CTCh. 11 - Prob. 1CURCh. 11 - Prob. 2CURCh. 11 - Prob. 3CURCh. 11 - Prob. 4CURCh. 11 - Prob. 5CURCh. 11 - Prob. 6CURCh. 11 - Prob. 7CURCh. 11 - Prob. 8CURCh. 11 - Prob. 9CURCh. 11 - Prob. 10CURCh. 11 - Prob. 11CURCh. 11 - Prob. 12CURCh. 11 - Prob. 13CURCh. 11 - Prob. 14CURCh. 11 - Prob. 15CURCh. 11 - Prob. 16CURCh. 11 - Prob. 17CURCh. 11 - Prob. 18CURCh. 11 - Prob. 19CURCh. 11 - Prob. 20CURCh. 11 - Prob. 21CURCh. 11 - Prob. 22CURCh. 11 - Prob. 23CURCh. 11 - Prob. 24CURCh. 11 - Prob. 25CURCh. 11 - Prob. 26CURCh. 11 - Prob. 27CURCh. 11 - Prob. 28CURCh. 11 - Prob. 29CURCh. 11 - Prob. 30CURCh. 11 - Prob. 31CURCh. 11 - Prob. 32CURCh. 11 - Prob. 33CURCh. 11 - Prob. 34CURCh. 11 - Prob. 35CURCh. 11 - Prob. 36CURCh. 11 - Prob. 37CUR
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