<u>Given</u>:
The vertices of the quadrilateral WXYZ are W(2,4), X(4,2), Y(2,1) and Z(0,2)
The graph is rotated 90° about the origin.
We need to determine the coordinates of the quadrilateral W'X'Y'Z'
<u>Coordinates of the quadrilateral W'X'Y'Z':</u>
The rule to transform the coordinates 90° counter clockwise about the origin is given by
![(x, y) \implies(-y, x)](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%5Cimplies%28-y%2C%20x%29)
Let us substitute the coordinates.
The coordinates of W' is given by
![W(2,4)\implies W'(-4,2)](https://tex.z-dn.net/?f=W%282%2C4%29%5Cimplies%20W%27%28-4%2C2%29)
The coordinates of X' is given by
![X(4,2) \implies X'(-2,4)](https://tex.z-dn.net/?f=X%284%2C2%29%20%5Cimplies%20X%27%28-2%2C4%29)
The coordinates of Y' is given by
![Y(2,1) \implies Y'(-1,2)](https://tex.z-dn.net/?f=Y%282%2C1%29%20%5Cimplies%20Y%27%28-1%2C2%29)
The coordinates of Z' is given by
![Z(0,2) \implies Z'(-2,0)](https://tex.z-dn.net/?f=Z%280%2C2%29%20%5Cimplies%20Z%27%28-2%2C0%29)
Therefore, the coordinates of the vertices W', X', Y' and Z' are (-4,2), (-2,4), (-1,2) and (-2,0) respectively.