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No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.

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Q: Are all quadrilaterals with congruent diagonals parallelpgram?
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Related questions

What are all quadrilaterals with congruent diagonals?

Parallelograms or isosceles trapezium.


How many diagonals are in trapezoid?

All quadrilaterals have 2 diagonals.


How many diagonals does an quadlrilateral have?

All quadrilaterals have 2 diagonals


Which of the following quadrilaterals have diagonals that are congruent to each other A parallelogram B rectangle C rhombus D square?

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


Which quadrilaterals must have perpendicular diagonals?

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


What quadrilaterals has all angles are congruent?

Rectangles have all angles congruent,


Do the diagonals of all quadrilaterals bisect?

No, in general, they do not.


Do all regular pentagons have congruent diagonals?

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


What quadrilateral has all angles congruent?

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


Which shape has 2 diagonals?

All quadrilaterals (four sided shapes) have 2 diagonals.


Is the diagonals of rhombus congruent?

"Congruent" isn't used to describe the diagonals of a rhombus. However, all four sides of a rhombus are congruent - they are all the same length.The diagonals of a rhombus are perpendicular to each other. They are not the same length - if the diagonals were the same length, then you would have a square.


Which quadrilaterals have diagonals that are not equal in length?

All but the square and rectangle.