Question

if wy = 6, what is uv?
uv = \square

Explanation:

Step1: Recall the mid - segment theorem

The mid - segment theorem states that the mid - segment of a triangle (a segment connecting the mid - points of two sides of a triangle) is parallel to the third side and half its length.
In triangle \(XUV\), \(YW\) is a mid - segment.

Step2: Apply the mid - segment formula

If \(YW\) is the mid - segment and \(UV\) is the third side, then \(YW=\frac{1}{2}UV\).
Given \(YW = 6\), we can solve for \(UV\) by using the formula \(UV = 2\times YW\).
Substitute \(YW = 6\) into the formula: \(UV=2\times6\).

Answer:

\(12\)