Quadrilateral ABCD has diagonals AC and BDWhich information is not sufficient to prove and ABCD is a parallelogram?Group of answer choicesAB is congruent to CD and AB is parallel to CDAB is congruent to CD and BC is congruent to ADAC and BD bisect each otherAB is congruent to CD and BC is parallel to AD

The information "AB is congruent to CD and BC is parallel to AD" is not sufficient to prove that ABCD is a parallelogram.

Here's why:

1. "AB is congruent to CD and AB is parallel to CD": This is sufficient because one pair of opposite sides is both parallel and congruent, which is a property of parallelograms.

2. "AB is congruent to CD and BC is congruent to AD": This is sufficient because both pairs of opposite sides are congruent, which is another property of parallelograms.

3. "AC and BD bisect each other": This is sufficient because the diagonals of a parallelogram bisect each other, which is another property of parallelograms.

4. "AB is congruent to CD and BC is parallel to AD": This is not sufficient because although one pair of sides is congruent (AB and CD) and one pair of sides is parallel (BC and AD), they are not the same pair of sides. For a quadrilateral to be a parallelogram, the same pair of opposite sides must be both parallel and congruent.