It is false that, if the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram.
What is a quadrilateral?
A quadrilateral is a two dimensional geometrical figure that has four sides and four vertices.
We already know that the both diagonals of a parallelogram bisect each other.
The following includes in a quadrilateral; parallelogram, square, rhombus, rectangle and trapezium.
Therefore, If the diagonals of the quadrilateral bisects each other and are perpendicular to each other, then the quadrilateral forms a rhombus.
Hence the answer is FALSE.
Learn more about a quadrilateral here:
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