Question: Given that the triangles are congruent by the SSS congruence theorem, which of the following is a valid congruence statement?
△ZAB≅△CLD
△ZAB≅△CDL
△AZB≅△CDL
None of these
1. **State the problem:** We have two triangles, △AZB and △CDL, with sides marked by ticks indicating congruent sides.
2. **Identify the vertices and sides:**
- Triangle △AZB has vertices A (top-left), Z (bottom-left), and B (center-right).
- Triangle △CDL has vertices C (top-left), D (top-right), and L (bottom-right).
3. **Match sides by ticks:**
- Side AZ has one tick, matching side CD with one tick.
- Side AB has two ticks, matching side DL with two ticks.
- Side ZB has three ticks, matching side CL with three ticks.
4. **SSS congruence theorem:** If all three sides of one triangle are congruent to the corresponding three sides of another triangle, the triangles are congruent.
5. **Determine the correct vertex correspondence:**
- Since AZ corresponds to CD, vertex A corresponds to C, and vertex Z corresponds to D.
- Since AB corresponds to DL, vertex B corresponds to L.
6. **Write the congruence statement with correct order:**
- The triangle △AZB corresponds to △CDL.
7. **Answer:**
- The valid congruence statement is $$\triangle AZB \cong \triangle CDL$$.
**Final answer:** $$\triangle AZB \cong \triangle CDL$$