Geometry

Question Analysis

This question focuses on the concept of a triangle median. The key is to identify which line segment among the options meets the definition of a median in .

 

Key Concept Explanation

A median of a triangle is a line segment that connects a vertex of the triangle to the mid - point of the opposite side. For example, in , if  is the mid - point of side , then the line segment  is a median of .

 

Step - by - Step Solution

1. Recall the definition of a median: A line from a vertex to the mid - point of the opposite side.

2. Analyze each option:

:  is not the mid - point of the side opposite  in , so  is not a median.

:  is not a vertex of , so  is not a median.

: Since  is the mid - point of

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