Whether the given statement is true or false. Justify with a diagram.
Answer to Problem 18WE
The
Explanation of Solution
Given information:
Given statement:
A triangle has two congruent sides, then the angles opposite those sides are congruent.
Calculation:
Consider the following figure:
In above figure there is
In which
To prove
Consider the definition is isosceles
Isosceles triangles are those whose two sides are congruent and also angle opposite to those two congruent sides are also congruent.
So according to above definitions,
If
Then
So it conclude that,
If
Therefore, if a triangle has two congruent sides, then the angles opposite those sides are congruent is true.
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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