Question

guided practice
midsegments of triangles
type your answer and then click or tap done.
which side of \\( \triangle k l m \\) is parallel to \\( \overline{y z} \\) ?

Explanation:

Step1: Recall the mid - segment theorem of a triangle

The mid - segment theorem states that a mid - segment of a triangle (a segment connecting the mid - points of two sides of a triangle) is parallel to the third side of the triangle.

Step2: Identify the mid - segment and the corresponding side

In \(\triangle KLM\), \(YZ\) is a mid - segment. \(Y\) is the mid - point of \(KM\) (since \(KY = YM\)) and \(Z\) is the mid - point of \(ML\) (since \(MZ=ZL\)). According to the mid - segment theorem, the mid - segment \(YZ\) is parallel to the side \(KL\) that it does not intersect.

Answer:

\(KL\)