A trapezium with its diagonals and a parallel line segment. What’s the proportion blue : red?
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Parallelism
Category: Beginner
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The Common Brimstone
A square divided by three line segments. What’s the proportion green : yellow?
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Tension control
Three squares and a line segment of which a vertex is the midpoint. What is the proportion purple : green?
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The pyramid scheme
Two congruent circles and a triangle. Prove that the triangle is isosceles.
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The French kiss
Two tangent circles and two red tangent line segments. The three tangency points are shown. What is the angle β in terms of the angle α?
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The drunk spider
A circle with several chords forming four coloured triangles. What is the proportion yellow : purple?
A triangle is divided in three smaller triangles. What is the proportion yellow : green?
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The Gouda cheese
A quarter circle with two inscribed squares. What’s the angle α?
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Three squares a day
Three congruent squares inscribed in a rectangle. What fraction of the total area is green?
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The glass piece
A square and an overlapping isosceles triangle. What is the angle α?