Pentagon abcde is shown on the coordinate plane below: pentagon on coordinate plane with ordered pairs at a negative 2, 4, at b negative 6, 2, at c negative 5, negative 2, at d 1, negative 2, at e 2,2 . if pentagon abcde is rotated 180° around the origin to create pentagon a'b'c'd'e', what is the ordered pair of point a'?

To draw the image A' of a point A under the rotation 180° around the origin, we form the segment AO, and extend it so that |AO|=|OA'|, as shown in the figure.

This construction gives us the images A'(2, -4), B'(6, -2), E'(-2, -2) of A(-2, 4), B(-6, 2), and E(2, 2) respectively.

By our observation, we can conclude that the image of P(a, b) under this transformation is P'(-a, -b).

A'(2, -4)