Exercise 1 solution

Langstroth: hanging-frame (vertical stackable). The article calls it the first successful top-opened hive with movable frames.
Warre: stackable top-bar (the most common type of top-bar stackable hive).
AZ Hive: sliding-frame (the original sliding-frame design, using Langstroth-sized frames).
Single-storey frameless hive: horizontal top-bar.

Why "top-bar" confuses: it names both the single-storey horizontal hive and the stackable top-bar family, and the article says hives with frames or summer honey chambers managed on top-bar principles are sometimes also called top-bar hives. The name alone does not tell you the shape.