Solution:
The point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.
Explanation:
The regular hexagon have 6 corner points ABCDEF.
The complete angle about the center because it is a close figure as shown in given figure. It means the line from two consecutive vertices to the center of hexagon make an angle of because 6 lines from the vertices to the center divides the center angle in 6 equal parts.
It is given that the hexagon is rotated at counterclockwise about the center, therefore the image of vertices shifts 4 places counterclockwise.
In figure first hexagon show preimage and second hexgon shows image. From figure it is noticed that the point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.
therefore, the point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.
