Question

I need help figuring out the coordinate planes of these points ASAP.

Answer 1

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

`(x, y) \implies(-y, x)`

Let us substitute the coordinates.

The coordinates of W' is given by

`W(2,4)\implies W'(-4,2)`

The coordinates of X' is given by

`X(4,2) \implies X'(-2,4)`

The coordinates of Y' is given by

`Y(2,1) \implies Y'(-1,2)`

The coordinates of Z' is given by

`Z(0,2) \implies Z'(-2,0)`

Therefore, the coordinates of the vertices W', X', Y' and Z' are (-4,2), (-2,4), (-1,2) and (-2,0) respectively.