Geometry

Question Analysis

This question focuses on identifying a line segment equal in length to  within the triangle. The key is to use the mid - point markings and properties of equal - length segments in a triangle.

 

Key Concept Explanation

In a triangle, when a point is marked as the mid - point of a side, it divides that side into two equal - length segments.

 

Step - by - Step Solution

1. Observe the markings on the triangle: Notice that  is the mid - point of  (as indicated by the single tick marks on  and ).

2. By the definition of a mid - point, a mid - point divides a line segment into two congruent parts. So, .

 

Option Analysis

A.TS: Correct. Since  is the mid - point of ,

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