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a.
To prove: that two
a.
![Check Mark](/static/check-mark.png)
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 prove: the two isosceles are congruent.
b.
![Check Mark](/static/check-mark.png)
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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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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