there are 4 properties we can use to prove if it is a parallelogram, in which 3 of them involve seeing if the sides are parallel or congruent, however for those we must know the value for the angles or sides, the other property is to prove that the diagonals bisect each other.
To prove the diagonals bisect each other is to see if the point of crossing divides into equal parts.
in this case since the division of the points gives the same values for both diagonals we can say that ABCD because the diagonals bisect each other.
