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The Butterfly Theorem. Suppose M is the midpoint of a chord P Q of a circle...

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Basic Math

The Butterfly Theorem. Suppose M is the midpoint of a chord P Qof a circle and AB and CD are two other chords that pass through M.Let AD and BC intersect P Q at X and Y , respectively. Then M isalso the midpoint of XY .

1. Prove the Butterfly Theorem. [10]

Hint: You know a lot about angles in a circle, and abouttriangles, and cross ratios, and all sorts of things . . .

Answer & Explanation Solved by verified expert
3.5 Ratings (620 Votes)
Given A chord PQ of a circle has a mid point MThere are two other chords AB and CD passing through the midpointM Chord AD intersects PQ at X and chord CB    See Answer
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