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this pre-image was rotated 180° about the origin.

use the segment to draw the image.

(1,2) (4,4) (4,7)

Shown Below in Image :)

Step-by-step explanation:

Shown below :)

If you follow is rule : P(x,y)>180° rotation>P'(-x,-y). the negative signs doesn't mean to make it negative but to change it to the opposite sign. If it's positive it goes to negative. And if it's negative is goes to positive. The rotated image would have the points: (1,2) (4,4) (3,7)