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In this case, the quadrilateral is sometimes a parallelogram.

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Q: If one diagonal of a quadrilateral bisects the other when is the quadrilateral a parallelogram?
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What quadrilateral has only one diagonal that is bisected?

Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the other.


If one diagonal of a quadrilateral bisects the other then the quadrilateral isa parallelogram?

not necessarily. because the diagonals of a trapezium also bisect each other and it is not a parallelogram. in order for the quadrilateral to become a parallelogram, the opposite angles of it must be equal, and the opposite sides must be equal too. the angles formed by the two diagonals( four in number) also must be equal if they are opposite angles not alternating angles.that's it pal


If the of a quadrilateral bisect each other then the quadrilateral is a parallelogram.?

True


Conditions which guarantee that a quadrilateral is a parallelogram?

Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.


What is a shape that is a quadrilateral and is not a parallelogram?

A quadrilateral is a shape with four sides. A parallelogram is a quadrilateral that has two pairs of parallel sides (i.e. the sides opposite each other are parallel). A rectangle, for example, is a parallelogram. A trapezoid, however, is an example of a quadrilateral that is not a parallelogram - it has four sides, but only two of them are parallel to each other.

Related questions

If one diagonal of quadrilateral bisects the other then the quadrilateral is a parallelogram?

No. It could be a kite.


What quadrilateral has only one diagonal that is bisected?

Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the other.


If one diagonal of a quadrilateral bisects the other then the quadrilateral isa parallelogram?

not necessarily. because the diagonals of a trapezium also bisect each other and it is not a parallelogram. in order for the quadrilateral to become a parallelogram, the opposite angles of it must be equal, and the opposite sides must be equal too. the angles formed by the two diagonals( four in number) also must be equal if they are opposite angles not alternating angles.that's it pal


What quadrilateral cannot have no right angles but its diagonal lines bisect each other?

isn't it a rhombus ? the ones that are like a slanted square ? because there are no right angles but each diagonal bisects the corners.


Does a kite have a diagonal which bisects a pair of opposite angles?

Yes: one of them, but the other diagonal does not.


Do the diagonals of a kite bisect each other?

No, they do not. Only the longer diagonal bisects the shorter diagonal.


Is a parallelogram any other kind of quadrilateral?

No, a parallelogram is not another kind of quadrilateral.


Do the diagonals of quadrilateral perpendiculary bisects each other?

Not necessarily.


Does one diagonal bisect the other of a kite?

Yes, in the figure of a kite one diagonal bisects the other. They do not bisect each other.


If the of a quadrilateral bisect each other then the quadrilateral is a parallelogram.?

True


If the diagonals of a quadrilateral each other then the quadrilateral is a parallelogram?

True


Does the diagonal of a rectangle bisect each other?

Yes. The diagonals of any parallelogram bisect each other. A rectangle is a special case of a parallelogram.