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Family ties

Two regular pentagons share a vertex. What is the proportion red : green?

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Longing for spring

Four semicircles and three line segments. What’s the proportion yellow : orange?

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The double bottom

A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?

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Eleven

A square contains a yellow right triangle with an area of 11. What is the square’s area?

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Almost sunk

A square contains a right triangle. What fraction is red?

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Going halfway

A regular hexagon contains a diagonal, a green equilateral triangle and a red triangle. Prove that the latter is isosceles.

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The triskelion

A circle containing an equilateral triangle and three squares. What fraction is purple?

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The consonant squares

Four squares and a rectangle. What’s the angle α?

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The forward lean

A square with a diagonal and an isosceles triangle. What fraction is brown?

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The skewed tree

A triangle with a line segment through its centroid and parallel to a side. What faction is dark green?