Geometry

Question Analysis

The main focus is using the Triangle Mid - Segments Theorem to find which segment is parallel to . We need to identify the mid - points of the triangle's sides to establish the mid - segment relationships.

Key Concept Explanation

The Triangle Mid - Segments Theorem states that a mid - segment of a triangle (formed by connecting the midpoints of two sides) is parallel to the third side of the triangle and half its length.

Step-by-Step Solution

1. Identify the mid - points:

From the markings,  is the mid - point of  and  is the mid - point of . So,  is a mid - segment of .

The side of  that  is parallel to is the side it doesn't intersect, which is .

Option Analysis

A.Segment UY: Since  is a mid - segment of

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