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Question
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midsegments of triangles
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which line segment is parallel to lm?
Step1: Recall the mid - segment theorem
The mid - segment of a triangle is parallel to the third side of the triangle. In triangle \(KLM\), \(YX\) is a mid - segment.
Step2: Identify the parallel side
Since \(Y\) is the mid - point of \(KM\) and \(X\) is the mid - point of \(KL\), by the mid - segment theorem of a triangle, the line segment \(YX\) is parallel to \(LM\).
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\(YX\)