Question

Given only that AB=DC and that AC bisects DB, determine if this is enough information to call ABCD a parallelogram. If so, prove it. If not then provide a counter example

Answer 1

Is there a proof u can do or a counter example?

Answer 2

Not sure how much detail you need, but the vertical angles in the middle , and the side-angle-side congruent triangles can show BC and AD are the same length, corresponding sides

Answer 3

If you can then use...
If both pairs of opposite sides of a quadrilateral are congruent, the quadrilateral is a parallelogram.

then that is it

Answer 4

or just do one step if you can use
If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.

unless you have to proove those with more steps