Math Playground
Activities

Drawing Squares

Connect dots to make squares — count tilted ones too.

On a grid of dots, connect 4 dots to make a square. Easy when the sides are horizontal — but tilted squares count too.

Tilted squares are real

A square with corners at (0,0), (1,2), (3,1), (2,−1) has all sides equal (√5) and all angles 90°. It's a square, just rotated.

On a 3×3 grid you can find 6 squares: 4 small, 1 medium, 1 tilted. On a 4×4 you can find 20. Counting them is a Pythagoras puzzle in disguise.

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