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Topic: Kites: Are rhombuses kites?
Replies: 26   Last Post: Aug 29, 2002 11:49 AM

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Michael Keyton

Posts: 138
Registered: 12/3/04
Re: Kites: Are rhombuses kites?
Posted: Nov 12, 1997 6:02 PM
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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.)

Michael Keyton

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!

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