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Q: Are all quadrilaterals with congruent diagonals parallelpgram?

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Parallelograms or isosceles trapezium.

All quadrilaterals have 2 diagonals

All quadrilaterals have 2 diagonals.

A square, a rhombus and a kite are all 4 sided quadrilaterals that have perpendicular diagonals.

All parallelograms.

No, in general, they do not.

Rectangles have all angles congruent,

'B' and 'D'. The diagonals are equal to each other in rectangles and squares.

No. A small pentagon will have smaller diagonals than a large pentagon! However, all the diagonals of a regular pentagon will be congruent.

All quadrilaterals (four sided shapes) have 2 diagonals.

The quadrilaterals with all angles congruent are rectangles and squares. They are the only quadrilaterals in which all four angles are right angles.

All but the square and rectangle.

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