If triangle def is rotated 180 degrees clockwise around the origin, what will be the coordinates of e’ in the image ?

E' (-3,-1)

When rotating 180° clockwise about the origin the coordinates of the image will be the same x and y numbers but the opposite sign of the pre-image. Using the above as an example, pre-image E is located at (3,1) so the rotated image would be E' (-3,-1). Pre-image D is located at (-1,3) so the rotated image would be D' (1,-3). Pre-image F is located at (2,-2) so the rotated image would be F' (-2,2).