1. **Problem Statement:** Determine if the wiggly edges form a spanning tree for the graph with vertices $A, B, C, D, E, F, H, I$ and edges as described. 2. **Recall:** A spanning tree is a subgraph that includes all vertices, is connected, and contains no cycles. 3. **Given Wiggly Edges:** $A-I$, $I-H$, $H-B$, $B-A$. 4. **Check if all vertices are included:** The wiggly edges connect vertices $A, B, H, I$ only. Vertices $C, D, E, F$ are not connected by wiggly edges. 5. **Conclusion:** Since vertices $C, D, E, F$ are not included, the wiggly edges do not form a spanning tree. 6. **Additional check:** The wiggly edges form a cycle $A-I-H-B-A$, so even among the connected vertices, it is not a tree (trees have no cycles).