Question

V'W'X'Y' has vertices V^' (-3,2),W^' (5,1),X^' (0,4),and Y'(-2,0). If V'W'X'Y' is the image of VWXY rotated 90° around the origin. What are the coordinates of VWXY (the pre-image).

Answer 1

Given:

V'W'X'Y' has vertices V'(-3,2), W'(5,1), X'(0,4) and Y'(-2,0).

V'W'X'Y' is the image of VWXY rotated 90° around the origin.

To find:

The coordinates of VWXY (the pre-image).

Solution:

V'W'X'Y' is the image of VWXY rotated 90° around the origin. It means, the figure VWXY is rotated 90° counterclockwise around the origin.

So, if we rotate V'W'X'Y' 90° clockwise around the origin, then we get the original figure VWXY.

If a figure rotated 90° clockwise around the origin, then

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

`V'(-3,2)\to V(2,3)`

`W'(5,1)\to W(1,-5)`

`X'(0,4)\to X(4,0)`

`Y'(-2,0)\to Y(0,2)`

Therefore, the coordinates of preimage are V(2,3), W(1,-5), X(4,0) and Y(0,2).