Geometry

Question Analysis

This question focuses on testing the understanding of different line - segment definitions in a triangle. The key is to match the given description with the correct geometric term among the options provided.

Key Concept Explanation

Median: A line segment that joins a vertex of a triangle to the mid - point of the opposite side. It divides the opposite side into two equal parts.

Altitude: A line segment that joins a vertex of a triangle to the opposite side (or its extension) in such a way that it is perpendicular to that side. It represents the height of the triangle with respect to the chosen base.

Angle bisector: A line segment that divides an angle of a triangle into two equal angles.

Perpendicular bisector: A line that is perpendicular to a side of a triangle and also bisects that side (divides it into two equal parts), but it does not necessarily pass through a vertex.

Step - by - Step Solution

1. Analyze the description:

The description "A segment joining a vertex to the opposite side so that it is perpendicular to that side" matches the definition of an altitude.

2. Analyze each option:

A.Median: As defined, a median joins a vertex to the mid - point of the opposite side, not necessarily perpendicularly. So, this option is incorrect.

B.Altitude: This option aligns with the given description as it is the line segment from a vertex perpendicular to the opposite side. So, this option is correct.

C.Angle bisec...