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

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A rectangle.

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

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

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

It can be a square or a rhombus

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.

No.

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

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

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.

Yes and they are perpendicular to each other thus forming right angles of 90 degrees

A kite

A rhombus has unequal diagonals which intersect at right-angles.