One corner of a rectangular piece of paper is folded back and forth to the opposite side. What is the proportion red : blue?
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The secret document
Tag: length
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Cross the line
An equilateral triangle with two line segments crossing exactly on the semicircle. What is the proportion red : green?
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The baby block
Two squares and an extended side. Prove that red : green = blue : yellow.
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The England win
A unit square containing two red overlapping congruent rectangles. If they cover exactly half the square’s area, what is their width x?
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A fair division
A square with a diagonal and a right triangle. What’s the proportion blue : red?
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The steam locomotive
Two tangent circles, a chord towards the tangency point and a tangent. What’s the proportion a : b in terms of radii R and r?
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True colours
In this right triangle, if red = blue, what is orange : purple?
Three semicircles and a circle. Three centres are shown in green. What’s the proportion red : blue?
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Sliding down
Two squares share a vertex. One line segment connects their centres, another two vertices. What is the length proportion blue : red?
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The double helix
Five equidistant parallel line segments. What’s the proportion green : red?