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A parallelogram has the following properties:
- Two pairs of parallel sides
- Opposite sides equal
- Opoosite angles equal
- Diagonals bisect each other
Therefore in order for a quadrilateral to be a parallelogram it has to have all of these same properties and in regards to your question it must also have all sides the same length.
The answer is: square and rhombus
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What is a parallelogram with all sides the same lenth that is not a square?
A rhombus
Are all the sides of a parallelogram the same?
No but it does have two pairs of sides of equal length
How can you convince me that a rhombus is a parallelogram but a parallelogram is not a rhombus?
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).
Is a square a parallelogram and way?
A parallelogram can be a square, but never can a square be a parallelogram. A square is defined as having all four sides the same and all four right angles. A parallelogram has to have two pairs of parallel sides.
What is a parallelogram that is not a square with all the sides the same length?
A rhombus
