Q32. - Geometry

Question

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

Step-by-Step Solution

Answer

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

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 $W=-7, X=-2, Y=3$.