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 4.4, Problem 31WE
a.
To determine
To prove: that two
a.
Expert Solution
Answer to Problem 31WE
Explanation of Solution
Given information:
The system, given:
Calculation:
The Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the
a.
1.
Reason: Given
2.
Reason: Definition of a line
3.
Reason: Definition of
4.
Reason: Definition of congruent angles
5.
Reason: Given
6.
Reason: Reflexive property
7.
Reason: SAS postulate
8.
Reason: Corresponding parts of
9.
Reason: Definition of a line
10.
Reason: Definition of
11.
Reason: Definition of congruent angles
12.
Reason: Given
13.
Reason: Reflexive property
14.
Reason: SAS postulate
15.
Reason: Corresponding parts of
16.
Reason: Definition of isosceles triangles
Thus,
b.
To determine
To prove: the two isosceles are congruent.
b.
Expert Solution
Answer to Problem 31WE
The two triangles can be congruent only if
Explanation of Solution
Given information:
The system, given:
Calculation:
The Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite to those sides are congruent.
b.
No, they can be congruent only if
Chapter 4 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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