Explanation
Looking at the graphs, we see that we can obtain △A'B'C':
• in option A by rotating 180° △ABC around the midpoint of the segment AB,
,
• in option B by rotating 180° △ABC around the origin,
,
• in option C by rotating 180° △AB'C around the point B'.
From the graph of option D, we see that we obtain △A'B'C' by reflecting △ABC with respect to the x-axis. So we conclude that △A'B'C' cannot be obtained from △ABC with only a rotation.
Answer
D
