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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).
What parallelogram that has sides with same length but is not a rectangle?
A Rhombus
What shape has 4 sides sides oppersite each other are the same length but the sides are not all the same length?
Rectangle, parallelogram
What is the quadrilateral with 2 sides the same length opposite sides are parellel sides are not 90 degrees?
This would be a parallelogram or a rhombus. A parallelogram is like a pushed over rectangle and a rhombus a pushed over square. All sides are equal length and parallel on a rhombus but opposite sides are equal and parallel on a parallelogram. None of the sides are joined by 90 degree angles.
Are all the sides of a parallelogram the same?
No but it does have two pairs of sides of equal length
