Through which menu can you change the layout of catalog pages in Magento Admin?

The option that allows you to change the layout of catalog pages in Magento Admin is found within the configuration settings related to the catalog itself. By navigating to System -> Configuration -> Catalog -> Catalog -> Frontend, you can modify various frontend settings, including layout options.

This menu provides a comprehensive set of options specifically designed for managing how catalog pages appear to users. You can set values for different layout-related attributes that affect the display of product listings, category pages, and more.

Other options provided serve different purposes or do not specifically cater to the layout of the catalog pages directly. For instance, managing categories focuses on the organization and hierarchy of product categories rather than their visual layout or presentation. The design settings may pertain more generally to themes and other design aspects but do not target catalog page layouts specifically. Lastly, there is no dedicated "System -> Layout -> Catalog" section in Magento’s configuration structure, making it an invalid choice for this specific question. Thus, navigating to the frontend settings under the catalog configuration is indeed the correct way to adjust the layout of catalog pages.