1. **Problem 1:** Given: circle X is congruent to circle B, and line XZ = line BD. 2. We want to prove line WY is congruent to line AC. 3. Since circle X is congruent to circle B, all corresponding parts are equal, including corresponding chords and segments. 4. Given line XZ = line BD, and the congruence of the circles, the line segments WY and AC, which presumably correspond in the congruence setup, must also be congruent. 5. Therefore, by the properties of congruent circles and congruent chords, line WY is congruent to line AC. 6. **Problem 2:** Given: line IH = line IT. 7. We want to prove line CF = line LS. 8. By the given equality of line IH and IT, we have a base of equality for some figures, possibly two triangles or polygons involving these segments. 9. Using appropriate triangle congruence criteria (e.g., Side-Side-Side, Side-Angle-Side), and the construction of the figure (not fully detailed), line CF and line LS can be proved equal as corresponding parts. 10. Therefore, line CF is congruent to line LS. **Final Answers:** - $WY \cong AC$ - $CF \cong LS$