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Because they share same properties of a parallelogram although a rhombus has 4 equal sides and diagonals that intersect each other at right angles.
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∙ 8y ago
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Do parallelograms have parallel sides?
Yes. A Parallelogram is a quadrilateral that has two pairs of parallel sides which are opposite each other and of equal length, though the pairs may be of different length to each other. If the angles are all 90° then the parallelogram is also a rectangle. If the angles are all 90° AND all sides are equal then the parallelogram is also a square. All squares are rectangles, but not all rectangles are squares; Similarly all squares are rhombuses but not all rhombuses are squares And all rhombuses, and thus squares, are parallelograms, but not all parallelograms are rhombuses (nor squares).
Can a quadrilateral be a parallelogram and a rhombus?
Yes. All rhombuses are parallelograms, but the reverse is not true. (I.e. there are parallelograms which are rhombuses and there a parallelograms that are not rhombuses. -- Just like Every bus has wheels but not everything with wheels is a bus.)
What is different between a parallelogram and a rhombus?
They are basically the same thing however, a rhombus has the sides all congruent and the parallelogram has the opposite sides congruent. If the rhombus had angles of 90 degrees it would become a square and if a parallelogram had sides 90 degrees it would become a rectangle. All rhombuses are parallelograms, but not all parallelograms are rhombuses. Likewise, using the above example of squares, all squares are rectangles but not all rectangles are squares.
Are rhombuses special parallelogram?
Yes. A parallelogram has two pairs of equal sides, but in a rhombus all the sides are equal.(similar situation: a square is a special kind of rectangle)
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).
Can some rhombuses be parallelograms?
Some rhombuses can be parallelograms. It all depends on the direction of the sides. A diamond is a rhombus that is not a parallelogram A square is a rhombus that is a parallelogram
Are parallelograms rhombuses?
Some parallelograms are rhombuses, but all rhombuses are parallelograms. A parallelogram is a rhombus if and only if all of it's sides are the same length.
Are all rhombuses parellelograms?
All rhombuses are parallelograms because to be a parallelogram you only have to have four sides and have opposite sides congruent.
Can a rhombus be a parallelogram?
All rhombuses are paralleleograms. Rhombuses are parallelograms in which all four sides are the same length (and the opposite angles are congruent). Squares are rhombuses in which all four angles are right.
Why is a parallelogram is not necessarily a rhombus?
The definition of a parallelogram is that it has four sides, the opposite sides are congruent and parallel, and opposite angles are congruent. This includes rectangles, squares, rhombuses, etc.The definition of a rhombus states that it is a parallelogram, but more specifically that all sides are congruent.So a rhombus is a parallelogram, but not all parallelograms are rhombuses.
Are all angles equal on a parallelogram?
THey can be (as in squares and rectangles) but usually aren't (as in rhombuses.)
Are all the angles equal on a parallelogram?
Not necessarily. Squares, rectangles, yes. Rhombuses, no.
Can rhombuses be called a parallelogram?
Yes
Are rhombuses always parallelogram?
Yes.
Why can a parallelogram not be described as a rhombus?
Although a rhombus is a parallelogram. not all parallelograms are rhombuses. A parallelogram is any shape with two or more pairs of parallel sides.
Are all squaresrhombirectangle a parallelogram?
All squares, rhombuses, rectangles and parallelograms are 4 sided quadrilaterals.
Are all rhombus parallelogram?
No for a parallelogram to be a rhombus it would have to have consecutive sides congruent and the diagonals bisect each other. All squares are rhombuses.
