MathDB

1

Part of 1990 Austrian-Polish Competition

Problems(1)

hard [Neuberg circle]

Source:

6/20/2005
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.
geometrygeometric transformationreflectiontrapezoidperpendicular bisectorgeometry solved