Two regular hexagons share a vertex. Prove that the blue points are collinear.
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Stand behind
Tag: hexagon
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Pull the string
Two regular hexagons and a circumcircle. What is blue : red?
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Six six four
Two regular hexagons and a square. What’s the angle α?
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The punctured hexagon
A regular hexagon, a square and an equilateral triangle. Show that the top vertex of the triangle is on the hexagon circumcircle.
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Four six four
A regular hexagon and two similar rectangles. What fraction is green?
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Six four
A regular hexagon and an inscribed tilted rectangle. What is the angle α?
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Ball of yarn
A cyclic hexagon has concurrent cross diagonals. What is the ratio of the product of the orange sides compared to the product of the purple sides. (ace:bdf).
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The open roof
A regular hexagon with two line segments at right angles. What is the minimum of yellow : red?
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The pumpkin
A regular hexagon and a circle centred in the blue point. What’s the angle α?
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Tilted hourglass III
A regular hexagon, a circle through its red centre and two line segments. What’s blue : orange?