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y is the midpoint of $overline{wz}$, x is the midpoint of $overline{wy}…

Question

y is the midpoint of $overline{wz}$, x is the midpoint of $overline{wy}$, $wy = 2$. what is the length of $overline{xz}$?

Explanation:

Step1: Find length of WX

Since X is the mid - point of WY and WY = 2, then $WX=\frac{WY}{2}=\frac{2}{2} = 1$.

Step2: Find length of WZ

Since Y is the mid - point of WZ and WY = 2, then WZ=2×WY = 2×2 = 4.

Step3: Calculate length of XZ

$XZ=WZ - WX$. Substitute WZ = 4 and WX = 1 into the formula, we get $XZ=4 - 1=3$.

Answer:

3