The Problem Investigation

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?

Conjecture

The figure figure formed by joining the four intersection points of the angular bisectors of the interior angles of a parallelogram is a rectangle.

Hint

A rectangle is a quadrilateral with four right angles.

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? Conjecture The figure figure formed by joining the four intersection points of the angular bisectors of the interior angles of a parallelogram is a rectangle. Hint A rectangle is a quadrilateral with four right angles.	Please enable Java for an interactive construction (with Cinderella).
	Drag free points A, B, or C to realize that the angles of the figure KLMN, which is formed by joining the four intersection points of the angular bisectors of the interior angles of the parallelogram ABCD, are right.

Angular Bisectors of a Parallelogram