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Beginner

Domino day II

Two large congruent rectangles share a vertex and contain two coloured rectangles. What is red : blue?

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Premium

Video: Peeping out II

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Advanced

Seeing double II

A right triangle is divided in two triangles by an altitude. The three incircles are shown with three tangency points. Prove that the two red line segments are congruent.

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Intermediate

Sunrise over green mountain

An acute triangle mountain ABC has altitudes BE and CF. The dotted tangent lines to the sunny circumcircle (AEF) at E and F intersect at a point M. Show that M is on the mountain’s base BC.