Angular Bisectors of a Parallelogram

The Activity Problem What is the figure formed by joining the four intersection points of the angular bisectors of the interior angles of a parallelogram?	Please enable Java for an interactive construction (with Cinderella).
	Drag free points A, B, or C to alter the parallelogram ABCD and observe the figure KLMN, which is formed by joining the four intersection points of the angular bisectors of the interior angles of the parallelogram ABCD, each time you alter the parallelogram. Make a conjecture about the formed figure KLMN.