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Are the angles of rectangles and parallelograms bisected by diagonals?

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Are the angles of rectangles and parallelograms bisected by diagonals?

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The diagonals of a parallelograms only when it has four edges with the same size, e.g. a rhombus or a square. A rectangles and a rhombuse are both parallelograms, and a square is both a rectangle and a rhombuses.

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