Which quadrilateral does NOT always have congruent diagonals? Explain why.

A. Rhombus

Note: A rhombus does not always have congruent diagonals because while its diagonals bisect each other at right angles, they are not necessarily equal in length.

the formule of rhombus is 1/2 d1,d2 since the both diagonals can be of different lenght becos the diagonal through the base may not be equal to the diagonal of the hypotenuse,since the rhombus is a square also

Answered by anumol | 2024-06-10

Most quadrilateral will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.

Answered by Anonymous | 2024-06-10

A rhombus does not always have congruent diagonals because although they bisect each other at right angles, their lengths can differ. In contrast, squares and rectangles do have congruent diagonals. Thus, a rhombus is an example of a quadrilateral where the diagonals are not always congruent.
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Answered by anumol | 2024-10-11