To prove:
Explanation of Solution
Given information:
By construction:
Proof:
The given information is:
By using
Then define the angle bisector:
Alternate interior angle theorem:
Corresponding angle postulate:
The transitive property:
Converse of the isosceles triangle theorem:
Definition of the congruence:
Substitute the value in equation (1):
Hence, this condition is proved.
Chapter 8 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Essentials of Statistics (6th Edition)
Mathematics All Around (6th Edition)
A First Course in Probability
Elementary Algebra
Elementary Statistics
Calculus: Early Transcendentals (2nd Edition)
- 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