Question

HLE ME ASAP!! 30 POINTS!!
Given parallelogram PARK.

Part I: Algebraically rotate parallelogram PARK 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 PARK counterclockwise 90° about the origin. On your graph, label the following:

1. parallelogram PARK and the coordinates of all four of its vertices
2. parallelogram P'A'R'K' and the coordinates of all four of its vertices
3. center of rotation and its coordinate
4. the invisible circle of rotation, its radius and the length of the radius
5. use arrows to show the counterclockwise movement of the parallelogram

Answer 1

Part 1:
Rotation counterclockwise 90 &degree; of a point is
$R_90(x,y)->(-y,x)$

Here is a table of the transformation of all four points:
P(-7,0)-> P'(-0,-7) =P'(0,-7)
A(-4,2)-> A'(-2,-4) 
R(-3,0)-> R'(0,-3)
K(-6,2)-> K'(-2,-6)
The initial and rotated images are shown attached.

Part 2: it needs to be done with the technology tool that you have.  We can check your work if you post what you did.