Question

Given the coordinate points of the preimage, use the transformation given to provide the points of the image. W(3,3) V(3,4) U(5,4) Rotation: 90∘ counterclockwise about the origin. W′( , ) V′( , ) U′( , )

Answer 1

W'(-3,3) V'(-4,3) U'(-4,5)

Explanation:

The mapping for 90 degrees counterclockwise rotation is;

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

The given points have coordinates: W(3,3) V(3,4) U(5,4)

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

This implies that:

`W(3,3)\to W'(-3,3)`

`V(3,4)\to V'(-4,3)`

`U(5,4)\to U'(-4,5)`

The required points of the image are:

W'(-3,3) V'(-4,3) U'(-4,5)