Tangential quadrilateral all of whose sides are tangent to a single conic section has three diagonals that meet at a point. From a tangential quadrilateral, one can form a hexagon with two 180° angles, by placing two new vertices at two opposite points of tangency; all six of the sides of this hexagon lie on lines tangent to the inscribed circle, so its diagonals meet at a point. But two of these diagonals are the same as the diagonals of the tangential quadrilateral, and the third diagonal of the hexagon is the line through two opposite points of tangency. Repeating this same
Hexagon (comedy show) selected each year. Recent recipients have included Sarah's Circle, the ALS Association, Hospice Caring, and the Wounded Warrior Project. Hexagon is supported by the affiliated Friends of Hexagon. As of 2014, Hexagon had raised over $3.5 million for charity. Hexagon has received recognition for its work in the Washington community. In 1987, President Ronald Reagan presented Hexagon with the President's Volunteer Action Award for service. In 1993, "Washingtonian" magazine selected Hexagon as "Washingtonian of the Year," the first time an organization was named as the award's recipient. In 1994, the Greater Washington Area Chapter of Hadassah honored Hexagon with its