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Are all rombi parallelograms?
Yes, all rhombi are parallelograms. A rhombus is, by definition, "a parallelogram in which all of the sides are the same 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).
What has four sides and two pairs of sides the same length?
Shapes with 4 sides are called quadrilaterals. If all the sides of the shape have the same length, then there are two options for specific quadrilaterals. These are squares or rhombuses. If the pairs of sides are not the same length as each other, then there are two alternate options for the shape. These are rectangles and parallelograms.
What is a long parallelogram?
It is important to know the different parallelograms. A long parallelogram is a parallelograms whose sides are long in length.
What shape is a square but not a parelellogram?
No shape is a square but not a parallelogram as all squares are parallelograms: All parallelograms have opposite sides parallel and of equal length, and opposite angles are equal. All squares have opposite sides that are parallel and of equal length, and opposite angles are equal; thus all squares are parallelograms. However, all squares also have all angles equal to 90o and all four sides equal, but some parallelograms have angles not all 90o and/or not all four sides of equal length; thus not all parallelograms are squares.
