Question

y is the midpoint of \\(\overline{wz}\\). x is the midpoint of \\(\overline{wy}\\). \\(xy = 3\\). what is the length of \\(\overline{wz}\\)? skill code: 1604003

Explanation:

Step1: Analyze midpoint of WY

Since X is the midpoint of $\overline{WY}$, we know that $WX = XY$. Given $XY = 3$, so $WX = 3$. Then $WY=WX + XY=3 + 3 = 6$.

Step2: Analyze midpoint of WZ

Since Y is the midpoint of $\overline{WZ}$, we know that $WY = YZ$. We found $WY = 6$, so $YZ = 6$. Then $WZ=WY + YZ=6 + 6 = 12$.

Answer:

12