Final answer:
To prove that ABCD is a parallelogram, we need to show that opposite sides are parallel and congruent. Given the provided information, we can conclude that AB ∥ DC, AD ∥ BC, and AB=CD. Therefore, ABCD is a parallelogram.
Step-by-step explanation:
To prove that ABCD is a parallelogram, we need to show that opposite sides are parallel. Given that AD=BC and AD∥BC, we can conclude that AB ∥ DC and AD ∥ BC.
Using the definition of a parallelogram, we know that opposite sides are congruent. Since AD=BC, we can also conclude that AB=CD.