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
In this case, the quadrilateral is sometimes a parallelogram.
Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the other.
True
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.
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.
In this case, the quadrilateral is sometimes a parallelogram.
No. It could be a kite.
Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the 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.
Yes: one of them, but the other diagonal does not.
No, they do not. Only the longer diagonal bisects the shorter diagonal.
No, a parallelogram is not another kind of quadrilateral.
Not necessarily.
Yes, in the figure of a kite one diagonal bisects the other. They do not bisect each other.
True
True
Yes. The diagonals of any parallelogram bisect each other. A rectangle is a special case of a parallelogram.