Question

graph the image of the figure after the given rotation. all rotations have a center of rotation at the origin180 degree rotation

Answer 1

Since all rotations have a center of rotation at the origin, let us first give the coordinates of the vertices of the original figure

If an object M(x, y) is rotated about the origin, the image will have the coordinates M'(-x, -y)

F(-4, 2)

N(-1, -2)

K(3, 0)

P(2, 4)

The coordinates of the new vertices after rotation will be:

F'(4, -2)

N'(1, 2)

K'(-3, 0)

P'(-2, -4)

The graph is shown below: