Answer this question, 27 points and brainliest!

the coordinates of the center of rotation is (4 , 3)

Step-by-step explanation:

*The line which passes through points (4 , 1) and (4 , 5) is vertical because the points have same x coordinates and its length is 5 - 1 = 4

*The line which passes through points (2 , 3) and (6 , 3) is horizontal because the points have same y coordinates and its length is 6 - 2 = 4

*These two lines intersect each other at their mid-point and this mid-point is the center of rotation

*The mid point is

 or

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i