What set of transformations could be applied to rectangle ABCD to create A'B'C'D'? Reflected over the x-axis and rotated 180° Reflected over the y-axis and rotated 180° Reflected over the x-axis and rotated 90° counterclockwise Reflected over the y-axis and rotated 90° counterclockwise

Vertices of the given rectangle ABCD is A(-4,2)B(-4,1)C(-1,1)D(-1,2).Vertices of transformed rectangle A'B'C'D' areA'(2,-4)B'(1,-4)C'(1,-1)D'(2,-1)Let us observe transformationsA(-4,2) --> A'(2,-4)B(-4,1) --> B'(1,-4)C(-1,1) --> C'(1,-1)D(-1,2) --> D'(2,-1)Form the reflected coordinates, we can clearly see that only x and y coordinates of each point are switched.If original rectangle has vertices in form (h,k).First if we reflect over x-axis, the coordinate(h,k) would become (h,-k).Now if we rotate it rotated 90° counterclockwise, the x and y-coordinates switches and x-coordinate would be multiply by -1.So, after rotated 90° counterclockwise (h,-k), we get (k,h)So, finally the x and y-cordinates values get switched.Therefore, correct option is third option, that is Reflected over the x-axis and rotated 90° counterclockwise.