Question

In the following figure,$X$is the midpoint of$\overline{VZ},VW=5,VY=20$. Find the coordinates of$W,X,Y$.

Short answer

The coordinates are$W=-7,X=-2,Y=3$.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Step description.

From the figure, the point$X$is the midpoint of $\overline{VZ}$.

So, the distance between$V$to$Z$is $22-\left(12\right)=34$.

Then the distance between $V$to $X$is as follows:

$\frac{34}{2}=17$

So, the point$W$is $-12+5=-7$.

Step 3. Step description.

The point$X$is as follows:

$\begin{array}{l}X=-12-7+17\\ X=-2\end{array}$

The point $Y$is as follows:

$\begin{array}{l}Y=22-7+17\\ Y=3\end{array}$

Therefore, the coordinates are $W=-7,X=-2,Y=3$.