MathDB
collinear from Chile, 3 of sides of ABCD are tangent to a circle (2004 L2 p6 )

Source:

May 30, 2019
geometrycollinearcircleconvex quadrilateral

Problem Statement

The AB,BC AB, BC and CD CD segments of the polygon ABCD ABCD have the same length and are tangent to a circle S S , centered on the point O O . Let P P be the point of tangency of BC BC with S S , and let Q Q be the intersection point of lines AC AC and BD BD . Show that the point Q Q is collinear with the points P P and O O .
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