1. The problem describes a rectangle ABCD with sides AB parallel to DC and BC parallel to AD. 2. By definition, a rectangle is a quadrilateral with four right angles and opposite sides equal and parallel. 3. Therefore, in rectangle ABCD, the opposite sides are equal: AB = DC and AD = BC. 4. Let's analyze each option: - A: $AB = AD$ is false because adjacent sides in a rectangle are generally not equal unless it's a square. - B: $AD = BC$ is true because opposite sides are equal. - C: $CD = AD$ is false because CD and AD are adjacent sides, not equal. - D: $AB = CD$ is true because opposite sides are equal. 5. So, the correct statements are B and D.