Categories
Intermediate

An equitable portion

A square, its diagonals and a right triangle. What fraction is green?

Categories
Intermediate

The wedge

A trapezium with its inscribed circle. Two tangency points are shown. What’s red / blue – yellow / green?

Categories
Intermediate

The fish trap

Two intersecting circles and two common tangents. Prove that α = β.

Categories
Intermediate

Eternal snow

A triangle with two angle bisectors. What fraction of its area is green?

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Intermediate

Lines in the sand

Two intersecting circles and four chords. Prove that the red chords are parallel.

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Intermediate

The same channel

Two circles and two common tangents. Prove that the blue triangle is isosceles.

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Intermediate

Le Petit Nicolas

Two parallel squares with four line segments connecting opposing vertices. Prove that they pass through a single point.

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Intermediate

Emerging from water

Two squares and an extended side. What’s red : green : pink?

Categories
Intermediate

The secret document

One corner of a rectangular piece of paper is folded back and forth to the opposite side. What is the proportion red : blue?

Categories
Intermediate

An irregular tiling

A triangle divided by three line segments. What fraction is blue?