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the three special quadrilaterals that can be a parallelogram are a rectangle, a square, and a rhombus

Actually, this is incorrect.

All squares are rectangles. All rectangles are parallelograms. Therefore all squares are parallelograms.

But not all parallelograms are rectangles. And not all rectangles are squares.

Q: Can a parallelogram be a rectangle and a square?

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A Square and a Rectangle are both Parallelogram.Square:A square is a parallelogram in which adjacent sides are equal and one of its angles is 90o.Rectangle:A Rectangle is a parallelogram in which one of its angles is 90o.

Square

They are all polygons.

"rectangle"

A square

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A square is a rectangle and a parallelogram.

A trapezium, parallelogram, rhombus, rectangle, square.A trapezium, parallelogram, rhombus, rectangle, square.A trapezium, parallelogram, rhombus, rectangle, square.A trapezium, parallelogram, rhombus, rectangle, square.

Yes, THEY are.

A rectangle is a parallelogram, but a parallelogram is not necessarily a rectangle. This is because a parallelogram can be so many other things, like a rhombus or a square.

Square

A rectangle.

A rectangle.

Two, a square and a trapezoid. A square is a rectangle and a parallelogram.

They are all polygons.

A square has all the properties of a rectangle and rhombus. (A square is always a rectangle.) A rectangle is not always a square but is always a parallelogram. A parallelogram is a quadrilateral (four sided figure) with both pairs of opposite sides are parallel. A rectangle is a quadrilateral with four right angles.

"rectangle"