Given:
A(-8,7) → A'(-7-8)
B(-4,7) → B'(-7,-4)
C(-6,2) → C'(-2,-6)
To find:
The transformation occurred between the set of points above.
Solution:
From the given set of points it is clear that the rule of transformation is
(x,y) → (-y,x) ...(i)
Because in the given set of points we interchange the x and y coordinates, then we are applying negative sign in the x-coordinate.
If a figure reflection over the x-axis, then
(x,y) → (x,-y)
If a figure reflection over the y-axis, then
(x,y) → (-x,y)
If a figure rotated 90° clockwise, then
(x,y) → (y,-x)
If a figure rotated 90° counterclockwise, then
(x,y) → (-y,x)
Only this rule of transformation is same as (i). So, the figure is rotated 90° counterclockwise.
Therefore, the correct option is D.
