Question

1. it is possible for a segment to be an altitude, median, perpendicular bisector, and angle bisector all at the same time. true false

Explanation:

Step1: Consider an equilateral triangle

In an equilateral triangle, each side's median, altitude, perpendicular bisector, and angle bisector coincide.

Step2: Analyze the properties

Since all sides and angles are equal in an equilateral triangle, the segment from a vertex to the mid - point of the opposite side satisfies the definitions of altitude (perpendicular to the side), median (connects vertex to mid - point), perpendicular bisector (bisects and is perpendicular), and angle bisector (bisects the vertex angle).

Answer:

True