Reports a proof of a classical geometry problem. The proposition is - In any triangle there are two equal sides, if the angles opposite these sides have angle bisectors with equal lengths. (RP)

The present problem was derived from the knowledge that if the midpoints of the sides of any quadrilateral are connected, a parallelogram would be obtained. The author explores what would happen if similar procedures were applied to pentagons, hexagons, and other geometric forms. (RP)

Presents two equivalent forms of the Pythagorean theorem, and a form for finding the area of a right triangle. (RP)

Presented are some of the special properties possessed by a triangle in which the measure of one of its three angles is one-half the measure of another of these angles. The author names such a triangle a vux triangle. (RP)