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question 6 if $overline{wx}congoverline{xy}$, what is the length of $ov…

Question

question 6
if $overline{wx}congoverline{xy}$, what is the length of $overline{wz}$?
7
10
3
4

Explanation:

Step1: Recall congruent - segment property

If $\overline{WX}\cong\overline{XY}$, then $WX = XY$. Given $XY = 3$, so $WX=3$.

Step2: Use segment - addition postulate

We know that $WZ=WX + XZ$. Given $XZ = 7$ and $WX = 3$. Then $WZ=3 + 7$.

Step3: Calculate the length of $\overline{WZ}$

$WZ=10$.

Answer:

10