Concept explainers
To draw: and label a diagram, and to prove the given statement.
Explanation of Solution
Given information:
Given statement:
Segments are drawn from the endpoints of the base of an isosceles triangle perpendicular to the opposite legs, and then those segments are congruent.
Calculation:
Suppose if segments are drawn from the endpoints of the base of an isosceles triangle perpendicular to the opposite legs, then prove those segment are congruent.
The provided data is as follows:
Here,
Also, it is provided that
To prove:
Show that
Consider these two
Statements | Reasons |
1. | Given |
2. | Definition of perpendicular line |
3. | Definition of congruent angle |
4. | By reflexive property |
5. | Provided |
6. | AAS theorem |
7. | CPCT |
Therefore, the triangles
This implies that by congruent parts of congruent triangles CPCT are equal, that is
Chapter 4 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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