To find: Whether the statement “In an isosceles
Answer to Problem 51HP
The statement “In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex” is always true.
Explanation of Solution
Given information:
The given statement is “In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex”.
Calculation:
Reflexive property of congruence shows
So,
CPCTC shows
One has
Therefore, the statement “In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex” is always true.
Chapter 5 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Trigonometry (11th Edition)
PREALGEBRA
College Algebra (7th Edition)
Introductory Statistics
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Probability and Statistics for Engineers and Scientists
- 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