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Cutting Corners

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?

Cut and Make

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?

Midpoint Triangle

Can you cut up a square in the way shown and make the pieces into a triangle?

Square to L

Age 7 to 11 Challenge Level:
four by four grid

Find a way to cut a $4$ by $4$ square into only two pieces, then rejoin the two pieces to make an L shape, $6$ units high.