Question

Please answer this question, 27 points and brainliest!

Answer 1

Answer:

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 $(\frac{4+4}{2},\frac{5+1}{2} )= (4,3)$

 or $(\frac{2+6}{2},\frac{3+3}{2}=(4,3)$