Question

question 45 of 50
an angle bisector is always the same segment as an altitude.
true
false

Explanation:

Step1: Recall Definitions

An angle bisector of a triangle divides an angle into two equal parts. An altitude is a perpendicular segment from a vertex to the opposite side (or its extension).

Step2: Analyze Cases

In an isosceles or equilateral triangle, the angle bisector, median, and altitude from the vertex angle coincide. But in a scalene triangle, the angle bisector (which splits the angle) and the altitude (which is perpendicular) are different segments (unless the triangle is isosceles/equilateral). Since the statement says "always", and there exist triangles (scalene) where they differ, the statement is false.

Answer:

B. False