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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Chapter 4.1, Problem 19WE
To determine

To plot: the given points on graph paper, and to draw ΔABC and DE¯ and to find two locations of point F such that ΔABCΔDEF

Expert Solution & Answer
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Answer to Problem 19WE

The graph conclude that point F can be (2,5) and (6,1) such that ΔABCΔDEF .

Explanation of Solution

Given information:

Given points,

  A(1,0),B(5,4),C(6,1),D(1,0),E(5,4)

Calculation:

The two triangles are said to be congruent if they are copies of each other and if their vertices are superposed, then can say that the corresponding angles and the sides of the triangles are congruent.

Plot the given points on the graph paper and draw ΔABC and DE¯ as shown below:

  A(1,0),B(5,4),C(6,1),D(1,0),E(5,4)

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 4.1, Problem 19WE , additional homework tip  1

Now, to locate point F so that ΔABCDEF , and location of point F can be rather on right side or on left side of DE¯ .

If ΔABCDEF then, corresponding parts of congruent triangles are congruent.

Therefore,

  AB=DEBC=EFAC=DF

In the above graph, to reach point C from point A , move 5 boxes to the left and then, 1 box vertically above. In the same manner, to reach point F from point D , move 5 boxes vertically above and then, 1 box to the right. If from point D , will move 5 boxes to the right and then, 1 box vertically above, will get another location of point F .

See the graph given below:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 4.1, Problem 19WE , additional homework tip  2

Thus, from the graph conclude that point F can be (2,5) and (6,1) such that ΔABCΔDEF .

Chapter 4 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

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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