Given:
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'
Coordinates of the quadrilateral W'X'Y'Z':
The rule to transform the coordinates 90° counter clockwise about the origin is given by
[tex](x, y) \implies(-y, x)[/tex]
Let us substitute the coordinates.
The coordinates of W' is given by
[tex]W(2,4)\implies W'(-4,2)[/tex]
The coordinates of X' is given by
[tex]X(4,2) \implies X'(-2,4)[/tex]
The coordinates of Y' is given by
[tex]Y(2,1) \implies Y'(-1,2)[/tex]
The coordinates of Z' is given by
[tex]Z(0,2) \implies Z'(-2,0)[/tex]
Therefore, the coordinates of the vertices W', X', Y' and Z' are (-4,2), (-2,4), (-1,2) and (-2,0) respectively.
