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prove that the diagonals of a rectangle ...

prove that the diagonals of a rectangle are perpendicular if and only if the rectangle is a square.

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Which of the following statements are true for a rectangle? It has two pairs of equal sides. It has all its sides of equal length. Its diagonals are equal. Its diagonals bisect each other. Its diagonals are perpendicular. Its diagonals are perpendicular and bisect each other. Its diagonals are equal and bisect each other. Its diagonals are equal and perpendicular, and bisect each other. All rectangles are squares. All rhombuses are parallelograms. All squares are rhombuses and also rectangles. All squares are not parallelograms.

Which of the following statements are true and which are false? (a) The diagonals of a parallelogram are equal. (b) The diagonals of a rectangle are perpendicular to each other. ( c) The diagonals of a rhombus are equal.

The equation of the diagonals of a rectangle are y+8x-17=0 and y-8x+7=0. If the area of the rectangle is 8 squnits then find the sides of the rectangle