A 90^(∘) rotation clockwise about the origin is equal to a rotation 270^(∘) counterclockwise and will change the coordinates of the vertices such that (a,b)→ (b,- a).
V(2,3),W(1,-5),X(4,0),Y(0,2)
Practice makes perfect
Let's start by graphing the given coordinates so that we can see the polygon.
To find coordinates of VWXY we have to rotate V'W'X'Y' by 90^(∘) clockwise. Rotation 90^(∘) clockwise is equal to a rotation counterclockwise by 270^(∘). When a figure is rotated 270^(∘) about the origin, the coordinates of the image's vertices will change in the following way.
(a,b)→ (b,- a)
Using this rule and the vertices of the image, we can find the x- and y-coordinates of the polygon.
