Architects Aanya and Sara are designing a rectangular window frame, \(ABCD\), as shown in the diagram. To strengthen the frame, they decide to add a diagonal wooden support beam from vertex \(B\) to vertex \(D\). This beam divides the rectangular frame into two triangular sections: \(\Delta ABD\) and \(\Delta CDB\).
Based on the above information, answer the questions below.
Questions:
1. Based on the properties of a rectangle, which sides are equal to each other?
2. Which side is considered "common" to both in \(\Delta ABD\) and \(\Delta CDB\)?
3. Which congruence condition proves that the triangles \(ABD\) and \(CDB\) are congruent?
4. When identifying corresponding vertices for triangles \(ABD\) and \(CDB\), which of the followimg mappings is correct?