There are numeroud relations between kites and isosceles trapezoids.
For instance, take a kite KITE with KI=IT and TE=EK (it is ok to have IT=TE, a rhombus being a special kite) Construct the diagonals (lines) IE and KT and intersect them at D (I suggest the name diacenter for this point for all quadrilaterals). Construct the four circles which each contain two vertices of the kite and the diacenter. The centers of these four circles form an isosceles trapezoid (except for those who exclude the rectangle as being an isos. trap. in certain cases.)
On Mon, 10 Nov 1997, Guy F. Brandenburg wrote:
> > WRT Kites, I would surmise that the definition will determine whether or > > not they're rhombi: if we define a kite to be a convex quadrilateral with > > two pair of adjacent congruent sides, then that would seem to inclde > > rhombi. (And the perpendicular diagonal property would also accrue to rhombi.) > > > Why does it have to be convex? Just so that the diagonals are both > interior? I'd like to fly a kite that was concave! >