Answer:
A' (-1, 3)
Step-by-step explanation:
A shape has symmetry if we are unable to distinguish it from its transformed image. A shape has rotation symmetry if there exists a rotation less than 360° that carries the shape onto itself. Which means that if you can rotate a shape less than 360° about some point and the shape looks like it never moved, it has rotation symmetry.
A rectangle is an example of rotation symmetry because if we rotate a rectangle at 180° about its center, it looks exactly the same. However, the points diagonal with each other are exchanged.
So, when the given rectangle is rotated 180° , the tranformed rectangle has the point A' at the same location of point C of the orginal shape.
So coordinates of A' are (-1, 3)
