A square with an extended side. What’s the angle α?
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Ice cube II
Category: Beginner
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Sailing by night
A circle with an inscribed quadrilateral. Prove that ab=cd.
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The odd balance
Two circles are tangent to two perpendicular lines and have their centres connected. Prove that the green triangle is right isosceles.
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The green door
Two overlapping squares and a unit circle. What’s the green overlap area?
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The antipodes
Two squares share a vertex. Four other vertices are connected as shown. Prove that the red points are collinear.
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And rightly so
A regular hexagon with a diagonal and a right triangle. What fraction is orange?
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The manta ray
A quadrilateral with connected side midpoints. What’s blue : red : yellow?
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The baboon
A square containing a square and an equilateral triangle. What fraction is pink?
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Sliding down II
A quarter circle and a square. What’s the angle α?
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Crossing mountains
A rectangle with four line segments. What’s brown : blue?