Final answer:
To find the original coordinates of point E, we need to reverse the transformation process: perform an 11-unit translation to the left and then a 180° rotation around the origin on the given coordinates of E'. However, the final coordinates of E' are required to determine the original coordinates of point E.
Step-by-step explanation:
The question involves determining the original coordinates of point E before a 180° rotation around the origin and an 11-unit translation to the right. To find the coordinates of point E, we need to reverse the translation by moving 11 units to the left and then perform a 180° rotation around the origin. If we call the final coordinates of E' (x', y'), then the initial coordinates of E just before the translation would be (x' - 11, y'). To find the coordinates before the rotation, we need to take the negative of both coordinates due to the 180° rotation property, resulting in (-(x' - 11), -y'). If E' is at the coordinates after the transformations, to find E, we apply the reverse transformations. Therefore, the correct answer cannot be determined without knowing the final coordinates of the point E'.