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

Categories

geometry puzzles for fun and beauty

Categories

Categories

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

Categories

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

Categories

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

Categories

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

Categories

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