To find: The assumption that can be made to start the indirect proof.
Answer to Problem 65SPR
The assumption that can be made to start as an indirect proof is that the
Explanation of Solution
Given:
The given proof is that the angle bisector of the vertex angle of an isosceles triangle is also an altitude of the triangle.
Calculation:
The first step to find the indirect proof is to find the negation of the conclusion.
Consider the conclusion of the given statement “the given proof is that the angle bisector of the vertex angle of an isosceles triangle is also an altitude of the triangle” is that the angle bisector of the vertex angle of an isosceles triangle is also an altitude of the triangle.
Thus, the assumption that can be made to start as an indirect proof is that the angle bisector of the vertex angle of an isosceles triangle is not an altitude of the triangle.
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