MathDB
hard [Neuberg circle]

Source:

June 20, 2005
geometrygeometric transformationreflectiontrapezoidperpendicular bisectorgeometry solved

Problem Statement

The distinct points X1,X2,X3,X4,X5,X6X_1, X_2, X_3, X_4, X_5, X_6 all lie on the same side of the line ABAB. The six triangles ABXiABX_i are all similar. Show that the XiX_i lie on a circle.
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