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## Equal rights

Two squares sharing a vertex. Two vertices are connected by a line segment. What is yellow : green?

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## Holes in my heart

The heart is divided into right triangles, each of which contains a blue circle. What is the total circumference of the blue circles in relation to the green perimeter and the lengths of the purple and orange lines in the centre?

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## Carapace

Some chords and segments inside a semicircle. What is the ratio of red to blue?

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An orange circle is squeezed inside a rectangle. Show that no matter how the blue point moves on the circle, the derived points Q and P will satisfy |QL| = |KP|.

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## Wheel of fortune

A unit square and a point on the inscribed circle. What is a2+b2+c2+d2?

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## The see-through triangle

A regular hexagon and an equilateral triangle share a vertex. What is red : blue?

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## Spike

A triangle with two line segments. What’s the angle α?

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## Bowtie II

The red and green wedges subtend the same angle, there are two right angles, and the blue sides have the same length. What is the ratio of lengths of the green and red segments?

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