![]() ![]() All equilateral kites are rhombi, and all equiangular kites are squares. Classified hierarchically, kites include the rhombi (quadrilaterals with four equal sides) and squares. Quadrilaterals can be classified hierarchically, meaning that some classes of quadrilaterals include other classes, or partitionally, meaning that each quadrilateral is in only one class. According to Olaus Henrici, the name "kite" was given to these shapes by James Joseph Sylvester. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a hovering bird and the sound it makes. One diagonal bisects both of the angles at its two ends.It divides the quadrilateral into two congruent triangles that are mirror images of each other. (In the concave case, the line through one of the diagonals bisects the other.) One diagonal crosses the midpoint of the other diagonal at a right angle, forming its perpendicular bisector. ![]()
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