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Do all four sides of a parallelogram must be parallel?

Updated: 8/19/2019
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There are 2 pairs of parallel sides in a parallelogram. Each pair of opposite sides are parallel. Adjacent sides are not parallel (they intersect).

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Q: Do all four sides of a parallelogram must be parallel?
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Is a quadrilateral that is not a parallelogram a trapezoid?

No. A trapezoid must have one pair of parallel sides, and a parallelogram must have two pair.But a quadrilateral in general doesn't necessarily have any parallel sides.


Condition which garanty that a quadrilateral is parallelogram?

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What is the name of a quadrilateral with both pairs of opposite sides parallel?

This is called a Parallelogram. Each pair of opposite sides will then be the same length. If all four sides are the same length, and opposite sides are parallel, then it is a rhombus. NB: If all four sides are the same length then the opposite sides must be parallel.


What are the rules of a trapezoid?

A trapezium must have one pair of parallel sides and the other sides must not be parallel - since in that case it becomes a parallelogram.


Why is a parallelogram always a quadrilateral but a quadrilateral is only sometimes a parallelogram?

A parallelogram must have 4 sides and so it must be a quadrilateral. However, the sides of a quadrilateral need not be parallel so a quadrilateral need not be a parallelogram.


My quadrilateral has two pairs of parallel sides what must it be?

parallelogram or rectangle


What is a quadrangle that has 4 equal sides and not parallelogram?

There is no such shape. If the four sides are equal it MUST be a parallelogram.


Why must the opposite sides of a parallelogram be equal in length?

Because if they were parallel but not equal, the other two sides would not be parallel.


What is the shape with four sides and the opposite sides are parallel and not equal?

If both sets of opposite sides are parallel and not equal, the shape cannot be a plane figure. It must be a projection of a parallelogram onto a spherical surface (or similar).


What shape has 4 equal sides but the angles are not the same?

There is no four-sided shape (quadrilateral) with four equal sides where no angles are the same. The diagonally-opposing angles must be the same, and opposing sides must be parallel. The only quadrilateral that fits that description is a parallelogram.


Is a parellagram a rectangle and square?

Rectangles and squares are examples of parallelograms, as are rhombi. To be a parallelogram, the four-sided-polygon (quadrilateral) must have opposite sides parallel.


Does a trapezoid's opposite sides parallel?

One pair must be. If the other pair is also parallel it becomes a parallelogram.