Question

with the information given, can you prove that this quadrilateral is a parallelogram?

Explanation:

Step1: Recall parallelogram property

One of the properties of a parallelogram is that opposite sides are parallel. In the given quadrilateral \(ABCD\), we see that \(AB\parallel CD\) and \(AD\parallel BC\) as indicated by the arrow - marks on the sides.

Step2: Apply the definition

By the definition of a parallelogram (a quadrilateral with two pairs of parallel sides), the given quadrilateral is a parallelogram.

Answer:

Yes, the given quadrilateral is a parallelogram because it has two pairs of parallel sides as indicated by the arrow - marks on the sides.