Three squares and a red quadrilateral. What is the red area?
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Tumbling down
Tag: square
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Baby brother II
Three squares and three angles. What is the angle α?
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Stretch of imagination
Four squares are placed as shown. Prove that the green quadrilateral is a parallelogram.
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Squaring the miter
A regular pentagon and two squares. Prove that the four purple vertices are concyclic.
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Squares connected
Two squares, one of which has an extended side. Prove that the three red vertices are collinear.
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Remote corner II
A square with two line segments. What’s the angle α?
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The cheese flag
Two squares, one of which has an extended side. What is orange : purple?
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Doors of perception II
A square, a triangle and a semicircle. The square and the triangle have equal areas. Prove that the triangle incentre is on the square side.
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Ice cube III
Two squares and an extended side. What’s the angle α?
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Fair and square II
Three squares and two diagonals. What is orange : blue?