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A square is both a quadrangle and a parallelogram.

Q: Is a square a quadrangle or parallelogram?

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a square * * * * * It need not be a square. It is simply a right angled quadrangle! It can be a trapezium, kite, arrowhead, rectangle or square. It cannot be a parallelogram or rhombus - other than a rectangle or square respectively.

If all four sides are equal, it must be a rhombus, which is a parallelogram. The square is a special case of a rhombus.

trapezoid

The answer is: quadrangle

I do not believe that such a quadrangle can exist in Euclidean space.

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Rhombus Actually a rhombus is in the parallelogram family, it just is a special member.

rhombus, square, rectangle, kite, parallelogram, etc.

No, but a parallelogram is a quadrangle.

No, but a parallelogram is a quadrangle.

TrapazoidAns2:If all 4 sides are equal the quadrangle must be a parallelogram. If it has all angles equal and all sides equal it is a special case of a parallelogram called a square.

This is either a parallelogram, square, rhombus or rectangle.

A quadrangle is a shape that has four right angles. It is also consider a parallelogram due to its four sides. Just think of a quadrangle as a square but different.

a square * * * * * It need not be a square. It is simply a right angled quadrangle! It can be a trapezium, kite, arrowhead, rectangle or square. It cannot be a parallelogram or rhombus - other than a rectangle or square respectively.

If all four sides are equal, it must be a rhombus, which is a parallelogram. The square is a special case of a rhombus.

Yes, it is.

draw a quadrangle that has 2 pairs of equal sides but is not a parallelogram

A parallelogram is also a quadrilateral.