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Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
Yes, the diagonals of a rhombus are perpendicular.
The diagonals of a rectangle are never perpendicular but the diagonals of a square are perpendicular
A square and a rectangle have diagonals of the same lengths.
No, the diagonals of a trapezoid are not always congruent. A trapezoid is a quadrilateral with at least one pair of parallel sides. The diagonals of a trapezoid connect the non-parallel vertices, and their lengths can vary depending on the specific dimensions of the trapezoid. In a trapezoid where the non-parallel sides are of equal length, the diagonals will be congruent, but this is not always the case.