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## Caught in the middle

Two circles support a triangle. Prove it is equilateral.

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## The magic mirror

You are standing in front of a mirror. Your shoulder width is 50 cm and your eyes are 6 cm apart. What is the minimum mirror width for a stereo view of yourself?

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## Daft Mouse

A square with two attached regular pentagons. A side and a diagonal are extended. What’s the angle?

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## The colour of spring

A square with a diagonal and a right angle. Two areas are given. How large is the pink area?

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## The monk’s hood

Two similar triangles inside a semicircle. What’s the angle?

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## Mars rover has landed

Two semicircles and two right triangles. What fraction of the large triangle does the small one cover?

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## Two hefty volumes

Two congruent rectangles inscribed in a square. What fraction of the area is blue?

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## Ménage à trois

Three equilateral triangles of which two are congruent. Are the three points collinear?

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