Question

Triangle DEF is shown on the xy-coordinate plane. The triangle will be rotated 180° clockwise around point (4, 8) to create AD'E'F'. Which

characteristic of AD'E'F' will NOT be the same for the corresponding characteristic of ADEF?
O the coordinates of D'
O the coordinates of F
O the area of AD'E'F'
O the perimeter of AD'E'F'

Answer 1

Answer: the coordinates of D'

Explanation:

Reflections are rigid motions, so area and perimeter are preserved.

However, the preimage of a point is only the same as the image of that same point if that point is the center of rotation. Since point D is not the center of rotation, the coordinates of D' will not be the same as those of D.