Question

Which of the following statements is not true?

A. An angle bisector can be a median of a triangle.

B. A perpendicular bisector can be an altitude of a triangle.

C. A median can be an altitude of a triangle.

D. All of the statements are true.

Answer 1

The answer is choice D:

consider an isosceles triangle, all of these statements would hold true:

Note: The median of an isosceles triangle is always a perpendicular bisector of the opposite side. As such, it would also serve as the altitude of the triangle.