parallelogram
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Not true. Rectangles and squares do, but other parallelograms do not.
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Isosceles trapezoid and rectangle
A parallelogram has two diagonals the same as all 4 sided quadrilaterals
All quadrilaterals have 2 diagonals
The most obvious types of quadrilaterals that have perpendicular diagonals are those with two pairs of adjacent sides the same length - squares, rhombuses, and "kite" shapes.These are all special cases of "orthodiagonal" quadrilaterals. All orthodiagonal quadrilaterals will adhere to the rule that the sum of the squares of the lengths of two opposite (nonadjacent) sides will equal the sum of the squares of the lengths of the other two sides; for successive sides of lengths a, b, c, and d, we have:a2 + c2 = b2 + d2This formula will be true for all orthodiagonal quadrilaterals and any quadrilateral for which this is true will be orthodiagonal (i.e. the diagonals will be perpendicular).
The diagonals of a parallelogram are parallel and the same length.