All of these objects tile the plane, and lozenges and kites are special cases of, for ten points, what class of geometric shapes which include trapezoids and rectangles.
In the equilic kind of these objects, extending two line segments will result in a 60-degree angle. The tangential kind of these objects is distinguished by possessing an incircle, and the area of a tangential one of these objects is equal to the inradius times the semiperimeter. Bretschneider's formula is an analog of Heron's formula for computing the area of these objects, and   Brahmagupta's formula is a special case used to compute the area of the cyclic kind of these      objects, which are governed by Ptolemy's theorem. All of these objects tile the plane, and lozenges and kites are special cases of, for ten points, what class of geometric shapes which include trapezoids and rectangles.
In the equilic kind of these objects, extending two line segments will result in a 60-degree angle.
quadrilaterals [antiprompt on speci c types thereof]