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

Answer 1

"Bisect" means to divide a shape into 2 equal parts. One case where 2 intersecting quadrilaterals bisect each other, is when they are both rectangles, twice as long as they are wide. They could intersect to overlap in way that made 3 squares. One of the squares would be in common. This could be done with the rectangles either lined up, or at right angles.

This can also work with 2 identical (or mirrored) parallelograms, where the longer sides are exactly twice as long as the short sides. They could overlap at the ends (in 2 ways, depending whether they are identical or mirrored) to have a rhombus in common. Rectangle, rhombus and square are special cases of parallelogram.

When putting questions from school into Answers, be sure to use the same wording. Perhaps "bisect" was not the word.

2 quadrilaterals that are of different sizes can not bisect each other.

Some quadrilaterals have sides which are all of different lengths.

Kite shapes are also quadrilaterals.