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Why are kites not rhombuses?
All four sides of a kite need not be 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).
How are rectangles and rhombuses different?
Squares and Rhombuses are different because a square needs to have 4 right angles and all 4 sides the same length.But a Rhombus only needs to have all 4 sides the same 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.
How is a rectangle different from a rhombus?
The opposite sides of rectangles are the same length and parallel, and the angles are all right. All four sides of a rhombus must all be the same length and parallel, but the angles need not be right. Squares are both rectangles and rhombuses, but no other figure is both a rectangle and a rhombus. In other words, the union of the set of rhombuses with the set of rectangles is the set of squares.
