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Math Puzzle: Dissect the Square

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Math Puzzle: Dissect the Square


A square with eight dots along the edges: one at each corner and one at the center point of each side.

Draw four lines beginning and ending at the gray points to break this square into pieces that can be rearranged into five identical squares.

A square with eight dots along the edges and four diagonal lines connecting the following pairs of dots: upper left corner to bottom center, top center to lower right corner, left center to upper right corner, lower left corner to right center.

Bonus: Suppose you can use any number of lines that begin and end anywhere along the edge. What other quantities of identical squares can you make with no extra pieces left over?

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