Butterfly Theorem
Let 
be the midpoint of chord 
of a circle, through which two other chords 
and 
are drawn. 
and 
intersect chord at 
and 
, respectively. The Butterfly Theorem states that is the midpoint of 
.
<geogebra>ac0eaced14d78b0f4ff370ae453962b4db309b5f</geogebra>
Proof
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