Geometry

# Can a parallelogram be a rectangle and a square?

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###### Wiki User

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.

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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 * Rhombus * Rectangle * Parallelograma parallelogram or a rhombus, square, rectangle

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.

a square and a rectangle and a rhombus and a parallelogram

A rectangle is defined as: A quadrilateral with two sets of congruent sides. Therefore, a square is a TYPE of rectangle. Rectangles and squares belong to the set of parallelograms, so they have all properties of a parallelogram. A rectangle is an equiangular parallelogram, while a square is an equilateral and equiangular parallelogram. Thus, a square is a rectangle.

A rhombus cannot be a square. A rectangle is an equiangular parallelogram. A rhombus is an equilateral parallelogram. A square is an equilateral and equiangular parallelogram. Thus, a square is both a rectangle and a rhombus.

No. Every square is a rectangle, a rhombus, a parallelogram, and a regular quadrilateral.

A square is a rectangle and a rectangle is a parallelogram and a parrallelogram.

a quadrilateral is a square, rectangle, rhombus, parallelogram, and trapezoid.

A parallelogram is also a square, rhombus, and rectangle.

A rectangle is a four-sided shape, a parallelogram. Since a rhombus is a parallelogram then it is also a rectangle in a sense. Along with a square, it is a type of rectangle.

Every square, rectangle, and rhombus is also a parallelogram.

A rectangle is a parallelogram with angles of 90 degrees. A square has those properties (and more) so it is a rectangle.

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