By cutting through its diagonal and cutting off each corner parallel to its diagonal which will leave you with 2 triangles and 2 trapezoids.
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No but it is possible to divide the square into 2 right angle triangles
Draw one line vertically - splitting the square in half, and draw one line diagonally - corner to corner.
You can put 2 triangles in a square or you can call it a quadrilateral.
You can get 2 triangles by cutting a parallelogram in half
You can't.