Isosceles trapezoids are dissected into three similar triangles and rearranged
to form two additional isosceles trapezoids. Moreover, triangle centers,
one from each similar triangle, form the vertices of a centric triangle which has
special properties. For example, the centroidal triangles are congruent to each
other and have an area one-ninth of the area of the trapezoids; whereas, the circumcentric
triangles are not congruent, but still have equal areas.