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One on incircle: PQ bisects AB and AC

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April 14, 2005
geometryparallelogramtrigonometryAsymptotecircumcirclegeometric transformationreflection

Problem Statement

The incircle of ABCABC touches BCBC, CACA, ABAB at KK, LL, MM respectively. The line through AA parallel to LKLK meets MKMK at PP, and the line through AA parallel to MKMK meets LKLK at QQ. Show that the line PQPQ bisects ABAB and bisects ACAC.
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