Three squares and three shared vertices. Prove that the orange quadrilateral is in fact a parallelogram.

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geometry puzzles to train your brain

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A blue parallelogram with an extended diagonal. What is the proportion green : orange?

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Using one straight cut, divide this triangle in two pieces. Paste them together to form a parallelogram with perimeter 19.

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A unit square and a parallelogram. What’s the area of the latter?

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A unit rhombus is surrounded by four congruent parallelograms. All five quadrilaterals have equal area. What are the parallelogram sides x and y?

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Two circles of area π and 9π respectively are contained in a parallelogram. What’s its area?