Figure efgh on the grid below represents a trapezoidal plate at its starting position on a rotating machine platform:

trapezoid efgh with vertices e at negative 4 comma 8, f at negative 7 comma 5, g at negative 4 comma 3, and h at negative 2 comma 5.

the plate is rotated 180° about the origin in the clockwise direction. which of the following describes the relationship of the paths traced by f and g as they undergo this rotation?