A unit square and a point on the inscribed circle. What is a2+b2+c2+d2?
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Wheel of fortune
Tag: square
Three congruent squares share two vertices while the upper sides coincide. What’s red : blue?
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Guylines II
A square, two orthogonal axes and two angles. What’s the proportion α : β?
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Pac-Man pack
Four Pac-Men eat the corners of a square while four others stand guard. What fraction of the square is eaten?
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Le col bleu
A square with two line segments. What fraction is blue?
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By coincidence
Three squares and a circle. Prove that the red point is on two squares and the circle.
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Movie film II
Five squares in a configuration. What’s the angle α?
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Wrapping presents II
Six squares are placed around a triangle. What is the angle α?
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Corner pursuit
Four corners of a square pursue each other clockwise, and after each unit step mark out the new smaller square. Show that the squares sizes in the sequence decrease in size to 1 in the limit.
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Off the grid
A square on a grid containing a red triangle with an extended side. What is the red fraction?