An infinite number of ways. Cut along a line from anywhere on a side to the centre of the square. Make three more cuts, at 90, 180 and 270 degrees to the first at the centre. Each point on a side of the square will give rise to a different set of four identical pieces of the square. And there are an infinite number of points on the side of the square. So an infinite number of answers to the question.
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The answer is given below.
a square. duuh. * * * * * duuh is correct! A square has 4 identical sides or 4 identical angles but not 4 identical faces! A shape with four identical plane faces is a regular tetrahedron or a triangle based pyramid.
Divide square into 4parts gets 4 rhombus shapes
divide a square into eighths
Polygon with four sides identical in length, four angles, all of which are 90 degrees.