Exercise 27 Page 600

Examining the points, we notice that we have not been given any numerical coordinates. Rather, we are given the coordinates of $△NOP$ relative to those of $△ABC.$ To visualize the triangles, we will assign values to the vertice's coordinates of $△ABC.$ We will choose our values to make the calculations of $△NO{P}^{\prime }s$ vertices as simple as possible.

As we can see, $u=0,$ $v=0,$ $w=1,$ $x=1,$ $y=0,$ and $z=1.$ Having assigned these values, we can determine the coordinates of $△NOP.$