@inproceedings{namgoong-etal-2026-auxiliary, title = "When Does Auxiliary Modality Matter in Solving Geometric Problems? A Comprehensive Study of Textual, Formal, and Visual Modalities", author = "Namgoong, Hyuk and Jung, Jeesu and Han, Yerim and Jung, Sangkeun", editor = "Demberg, Vera and Inui, Kentaro and Marquez, Llu{\'i}s", booktitle = "Proceedings of the 19th Conference of the {E}uropean Chapter of the {A}ssociation for {C}omputational {L}inguistics (Volume 2: Short Papers)", month = mar, year = "2026", address = "Rabat, Morocco", publisher = "Association for Computational Linguistics", url = "https://preview.aclanthology.org/ingest-eacl/2026.eacl-short.4/", pages = "76--92", ISBN = "979-8-89176-381-4" }