Thread: HELP!!!! Urgent

A quarter turn is a 90 degree rotation. If the counterclockwise quarter turn centered at (3,2) is applied to (7,1) what are the coordinates of the image? What are the image coordinates when this transormation is applied to a general point (x,y)?

PLEASE HELP!!! This is really urgent...

find the direction vector from (3,2) to (7,1) ...

direction vector is (7-3,1-2) = (4,-1)

note the slope of the direction vector ... -1/4

a perpendicular slope would be +4/1, so the perpendicular direction vector is (1,4)

translate the perpendicular direction vector so that its tail is at (3,2) ...

(1+3, 4+2) = (4,6), the image coordinates.

I'll leave it for you to find the image for the general rotation.

Okay, I think I get what you're saying. Thanks so much for the help!! I'll let you know if I have any problems.