Math 403: Euclidean Geometry
Midterm 3 - Review



Time & Location: Tuesday, Apr. 19, 10:00-10:50, 441 Altgeld.
Material: Sections 3.4-4.10 of the textbook (from section 4.10, you only need to know the main theorem, Theorem 4.36).

You should be prepared to state any of the following

Axioms: Definitions: Results:
In addition, you should know how isometries are determined by their fixed points: and how many reflections are needed to express a type of isometry:

Suggested Exercises: Try the odd-numbered exercises in Chapter 3 and 4, especially problems 3.11, 3.13, 4.1, 4.5, 4.13, 4.17, 4.21. Some of these were done in class, and they all have hints in the back of the book, but try to do them without consulting your notes or the back of the book. Another good thing to try is to look at some of the results in the text (like Proposition 4.2, 4.7, or 4.14, for example) and try to prove them without looking at the proof in the book.

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