Answer:
To prove that triangles BAE and BCD are congruent using the SAS (Side-Angle-Side) pattern, you'll need to show that two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle.
Here's how you can prove it:
1. Start by establishing that side BA is congruent to side BC. This can be given or derived from the information provided.
2. Show that side AE is congruent to side CD. Again, this may be given or derived based on the information you have.
3. Prove that angle BAE is congruent to angle BCD. This might involve showing that they are vertical angles, corresponding angles, or another property that makes them congruent.
Once you've demonstrated that side BA is congruent to side BC, side AE is congruent to side CD, and angle BAE is congruent to angle BCD, you can conclude that triangles BAE and BCD are congruent by the SAS congruence pattern.
After proving the congruence of these triangles, you can then invoke CPCTC (Corresponding Parts of Congruent Triangles are Congruent) to state that other corresponding parts of the triangles are congruent as well. This might include corresponding angles and sides.
If you provide specific information from your problem, I can help you further with the proof.