MathDB
Geometry problem

Source: EGMO 2018 Moldova TST

February 11, 2018
geometrycircumcircle

Problem Statement

Let ABCDABCD be a isosceles trapezoid with AB∥CDAB \| CD , AD=BCAD=BC, AC∩BD= AC \cap BD = { OO }. M M is the midpoint of the side ADAD . The circumcircle of triangle BCM BCM intersects again the side ADAD in KK. Prove that OK∥ABOK \| AB .
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