(60 POINTS) Given parallelogram
P
A
R
K
:
Part I: Algebraically rotate parallelogram
P
A
R
K
counterclockwise
90
°
about the origin. List the coordinates of the image, parallelogram
P
′
A
′
R
′
K
′
. In your final answer, show all of your work.
Part II: Graphically rotate parallelogram
P
A
R
K
counterclockwise
90
°
about the origin. On your graph, label the following:
parallelogram
P
A
R
K
and the coordinates of all four of its vertices
parallelogram
P
′
A
′
R
′
K
′
and the coordinates of all four of its vertices
center of rotation and its coordinate
the invisible circle of rotation, its radius and the length of the radius
use arrows to show the counterclockwise movement of the parallelogram