Four squares and one centre. Prove that the red quadrilateral is a parallelogram.
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Dancing squares
Tag: square
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A central angle
One blue and two congruent red squares. The shown point is the red square centre. What is the angle α?
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Pines and sky
Show that the light blue area is the same as the dark green area.
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The tetromino
A square, its diagonal and six smaller squares. What fraction is purple?
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Bottoming out
Two squares and a circle. What’s the angle α?
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Sliding square II
A square inside a square. What fraction is pink?
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Child with toy
Three squares sharing two vertices. Prove that the three red vertices are collinear.
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Bullet train
What is the ratio of orange and green areas? (The orange triangle is 45-45-90)
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Baby block II
A square containing another square with an extended side. What is tan(α) in terms of the red and green segment lengths?
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Mouth to mouth
What is the ratio of the blue and yellow lines?