Question

which of the following statements is true for all parallelograms the diagonals bisect each other the diagonals are congruent diagonals are parallel or the diagonals are perpendicular

Answer 1

We know that in a parallelogram the diagonals bisect each other.

The diagonals can't be parallel as they intersect, and they don't need to be perpendicular nor congruent, as the following example shows:

The quadrilateral ABCD is a parallelogram, and the diagonals AC and BD have different size.

Also, the diagonals are NOT perpendicular as the angle formed is not 90°:

This means that in a parallelogram, the diagonals bisect each other.