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Q: Which shape has 2 pairs of parallel sides and equal length diagonals which do not cross at 90 degrees?

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A parallelogram (or rectangle) which is not a rhombus (or square).

A parallelogram

A kite

No

They are either kites or (if the diagonals bisect each other) rhombuses.

Related questions

A rectangle has 2 pairs of parallel sides and its diagonals are of equal length but do not cross each other at 90 degrees

A parallelogram (or rectangle) which is not a rhombus (or square).

A rectangle would fit the given description

A rectangle.

No.

The diagonals do not intersect (cross) at 90 degrees.

Because it has 4 sides of equal lengths and its diagonals cross at 90 degrees. It looks like a tilted square with opposite parallel sides

yes, they do. though they are not always equal in length they always cross at right angles.

A parallelogram

The cross section of cylinder along its length (parallel to the axis of symmetry has the shape of a rectangle.

The diagonals of a rectangle do not cross at right angles

The diagonals of a square and a rhombus cross at right angles.

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