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Q: Which four-sided shape has all sides equal and diagonals that are different lengths?

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A square and a rectangle both have diagonals of equal lengths

Diagonals are normally equal in lengths

They are of different lenghts unless it is an isosceles trapezoid that will have equal lengths

Yes the diagonals of a rectangle are equal in lengths

A square and a rectangle have diagonals of equal lengths

The 2 diagonals in an isosceles trapezoid are of equal lengths

Sometimes as when the parallelogram is in the form of a rectangle then its diagonals are of equal lengths.

Parallelogram, trapezoid, rhombus and a kite are some of them Note that a square and a rectangle have diagonals of equal lengths

The diagonals of an isosceles trapezoid are equal in lengths

The diagonals of an isosceles trapezoid are equal in lengths but are not perpendicular to each other at right angles.

True because the diagonals of a rectangle are equal in lengths

No. Even in the non-US use of the term (a quadrilateral with at least one set of parallel lines), the lengths of the parallel lines may not be the same, and/or the angles formed by each adjacent side may be different (as in a rhomboid), resulting in diagonals of extremely different lengths.Only in rectangles are diagonals "always" of equal length.

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