Determine the coordinates of the preimage given the image below and the composition of a rotation 180 about the origin and a translation 3
units up.

The coordinates of the preimage given in the image below and the composition of a rotation 180 about the origin and a translation 3 units up are: (2, -3), (3, 1), and (-5, 0).What is a rotation?In Geometry, the rotation of a geometric figure 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).From the graph of the image of triangle A'B'C', we have the following coordinates and they would be reversed to obtain the coordinate of triangle ABC before a translation:(-x, -y)                              →               (x, y)Points at A' = (-2, 5)        →              Points at A = (2, -5)  Points at B' = (-3, 1)          →             Points at B = (3, -1)Points at C' = (5, 2)           →             Points at C = (-5, -2)Next, we would apply a translation of 3 units up:Points at A = (2, -5)      →     (2, -5 + 2) = (2, -3)Points at B = (3, -1)       →     (3, -1 + 2) = (3, 1)Points at C = (-5, -2)     →     (-5, -2 + 2) = (-5, 0)Read more on rotation here: brainly.com/question/28515054#SPJ1