The point ( -4,1 ) is rotated 180 degrees counterclockwise using center ( 0,0 ) what are the coordinates of the image

Question

i need the answer

Answer 1

To rotate a point (x,y) 180 degrees counterclockwise around the origin (0,0), you can use the following transformation:

(x′,y′)=(−x,−y)

For the point (−4,1):

1. x′=−(−4)=4
2. y′=−1=−1

So the coordinates of the image after the rotation are:

(4,−1)

Thus, the point (−4,1) rotated 180 degrees counterclockwise around the origin (0,0) results in the coordinates (4,−1)