Math Puzzle: Dissect the Square

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…

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