Discussion
If the diagonals of a parallelogram are perpendicular to each other, then it is a
Answer: D
A parallelogram with perpendicular diagonals is a rhombus.
The diagonals of a parallelogram bisect each other. If they are also perpendicular, each diagonal is the perpendicular bisector of the other, which makes all four sides equal: the parallelogram is a rhombus.
A square also has perpendicular diagonals, but it is a special rhombus with right angles, which the condition does not require; the general answer is rhombus. A rectangle's diagonals are equal but not perpendicular unless it is a square, and a trapezium is not a parallelogram.
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