Explanation:
First things first, we are rotating about a point so the first we do is the move the clockwise rotation to the origin.
Since a rotation is a rigid transformation, we must move all the other points as well.
So move every point using the rotation vector
R(-6,-8), move every point to
D(1-6,4-8)=D'(-5,-4)
E(5-6,5-8)=E'(-3,-5)
F(4-6,1-8)=F'(-2,-7)
G(0-6,0-8)=G'(-6,-8)
So know since the center of rotation is middle at (0,0) , we can apply the rotation rules
For a 270 clockwise rotation, we apply this rule
(-y,x)
So for the points we know get
D''(5,-4)
E''(3,-5)
F''(2,-7)
G"(6,-8)
Know since we done our rotation, we undo what we did in step 1, we add 6 to the x coordinates and 8nto the y coordinate
D"'(11,8)
E"'(9, 3)
F"(8,1)
G"'(12,0)
So those are our new coordinates.