Question

Pentagon ABCDE is shown on the coordinate plane below:

If pentagon ABCDE is rotated 180° around the origin to create pentagon A'B'C'D'E', what is the ordered pair of point D'?

a. (-1, -2)
b. (1, -2)
c. (5, 2)
d. (6, 2)

Answer 1

To find the coordinates of point D' after a 180° rotation around the origin, the original coordinates of point D are negated. However, the original coordinates of point D are needed to give a specific answer.

Step-by-step explanation:

When a point is rotated 180° around the origin on a coordinate plane, the coordinates of the point are negated. If the original coordinates of point D are (x, y), then the coordinates of point D' after the 180° rotation would be (-x, -y).

Unfortunately, you have not provided the original coordinates of point D, so we cannot apply the transformation directly to determine the coordinates of point D'. However, I can explain how to find D' once the original coordinates are known. For example, if point D were at (3, 4), then after a 180° rotation, point D' would be at (-3, -4).

If you can provide the original coordinates of point D, I would then be able to give you the exact coordinates of point D' after the rotation.