Question

In a diagram, X is the midpoint of Segment VZ. VW =5, and VY =20. Find the coordinates of W,X, and Y.

Answer 1

solution:

$x(a_{x},b_{x})is midpoint of vz\\ a_{x}=\frac{a_{v}+a_{z}}{2}=\frac{-12+22}{2}=\frac{10}{2}=5\\ b_{x}=\frac{b_{v}+b_{z}}{2}=\frac{0+0}{2}=0\\ and,\\ x(5,0)\\ w(a_{w},b_{w}),v_{w} and w is on the right of v.\\ a_{w}-a_{v}=5\\ a_{w}-(-12)=5\\ a_{w}+12=5\\ a_{w}=5-12=-7\\ w(-7,0)\\ y(a_{y},b_{y})=20 and y is on the right of v.\\ a_{y}-a_{v}=20\\ a_{y}-(-12)=20\\ a_{y}+12=20\\ a_{y}=20-12=8\\ y=(8,0)$