The coordinates of the vertices of the quadilateral EFGH are:
E(-3, -1)
F(-3, -4)
G(2, -3)
H(4, -1)
When an object of coordinates (x, y) is rotated 180 degrees about the origin, the coordinates of the image will be (-x, -y)
The coordinates of the vertices of the image become:
E'(3, 1)
F'(3, 4)
G'(-2, 3)
H'(-4, 1)
The image of the rotated figure is shown below: