To prove that angle A is not congruent to angle B, Tanisha can assume that they are congruent and then use a proof by contradiction. How should Tanisha complete her proof?
By the Triangle Angle Sum Theorem, the three angles together must be 180 degrees, but if the two angles are the same, then the sum can't be 180 degrees.
By the converse of the Isosceles Triangle Theorem, the sides opposite congruent base angles are congruent, so the length AC would equal the length BC, but that contradicts the given inequality.
The median from C to the mid-point of AB would divide the triangle into two

Question

To prove that angle A is not congruent to angle B, Tanisha can assume that they are congruent and then use a proof by contradiction. How should Tanisha complete her proof?
By the Triangle Angle Sum Theorem, the three angles together must be 180 degrees, but if the two angles are the same, then the sum can't be 180 degrees.
By the converse of the Isosceles Triangle Theorem, the sides opposite congruent base angles are congruent, so the length AC would equal the length BC, but that contradicts the given inequality.
The median from C to the mid-point of AB would divide the triangle into two

itsmichelle29 · Answer

If the two angles are not equal, then the perpendicular bisectors of AC and BC no longer meet.

itsmichelle29 · Answer

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