To help you solve this problem, I will analyze the question and the diagram. Based on the information provided in the image, here's a step-by-step approach:

1. Understand the Given Information:

   • $BF \cong MY$
   • $HY \cong FH$
   • $\angle RWS \cong \angle HWY$
   • $HB \cong MH$

2. Identify the Triangles to Prove Congruent:

   • The problem asks to determine which pair of triangles is congruent using the given information.

3. Use Congruence Postulates:

   • Possible congruence rules include HL, ASA, AAS, SAS, or SSS.
   • CPCTC (Corresponding Parts of Congruent Triangles are Congruent) is used after proving two triangles are congruent.

4. Determine the Correct Answer:

   • From the given data:
     • $HY \cong FH$ and $HB \cong MH$ establish two pairs of congruent sides.
     • $\angle HWY \cong \angle RWS$ provides congruence of angles.
     • The combination of two sides and the included angle matches the SAS Congruence Criterion.
   • Therefore, $\triangle HYM \cong \triangle FHB$ by SAS Congruence.

Final Answer:

Complete the statement: The given information can be used to show that $\triangle HYM \cong \triangle FHB$ using SAS Congruence.

Let me know if you have additional questions or want more clarification! Here are some follow-up questions:

1. How does SAS Congruence differ from AAS and ASA?
2. Could we prove congruence using another postulate in this problem?
3. What additional information would be necessary to prove congruence with SSS?
4. How does CPCTC relate to proving triangle congruence?
5. Why is the included angle critical for SAS?

Tip: Always confirm that the angle used in SAS is the one between the two congruent sides!