Q: What has 4 sides and opposite sides are same length and parallel?

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This is called a Parallelogram. Each pair of opposite sides will then be the same length. If all four sides are the same length, and opposite sides are parallel, then it is a rhombus. NB: If all four sides are the same length then the opposite sides must be parallel.

a square

A quadrilateral

a rhombus

The opposite sides in a parallelogram are parallel and the same length. However, they are not angles at 90 degrees (right angles).

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This is called a Parallelogram. Each pair of opposite sides will then be the same length. If all four sides are the same length, and opposite sides are parallel, then it is a rhombus. NB: If all four sides are the same length then the opposite sides must be parallel.

a square

I am a rhombus. I don't need to prove that my opposite sides are parallel. If I'm a quadrilateral with four sides that are the same length, then I am definitely a rhombus.

A quadrilateral

A Paralellogram

a rhombus

The opposite sides in a parallelogram are parallel and the same length. However, they are not angles at 90 degrees (right angles).

A Rhombus

Try a square or parralellogram.

Yes. By definition, opposite sides are equal (i.e. same length) and parallel.

A shape with opposite sides parallel and of the same length and four right angles is a rectangle.

A parallelogram requires that opposite sides are parallel and of the same length; it is not a requirement that all four sides are of the same length. A rhombus requires that opposite sides are parallel and all four sides are of the same length. It is possible that a parallelogram can have all four sides of the same length; when it does it now fulfils the requirements of a rhombus, and so is a rhombus. Thus a rhombus is a type of parallelogram (all rhombuses are parallelograms), but there are parallelograms which are not rhombuses (those where there are two sides of one length (opposite and parallel) and the other two sides of a different length).