Math 444 Geometry for teachers
Final guide and rules
Date: March 18, 8:30-10:20am.
Closed book, closed notes, all electronic devices off
and away, individual work only!
Allowed:
1. List
of axioms and theorems of Incidence geometry (Chapter 2) (a printed copy
will be provided at the midterm)
2. List
of axioms and theorems of neutral geometry (Chapter 3-5) (a printed copy
will be provided at the midterm)
3. A two-sided page of notes handwritten
or typed up by you
Material:
Chapters 1-5. You should understand the
statements and proofs of all theorems in the book. The following theorems may
appear explicitly on the exam:
1. Everything that was proven in class:
Chapter 2: 2.25, 2.26, 2.32
Chapter 3: 3.1, 3.3, 3.26, 3.27, 3.47, 3.51
Chapter 4: 4.4, 4.5 (Angle construction theorem), 4.16, 4.20, 4.28
Chapter 5: 5.2 (Pasch’s theorem), 5.6 (ASA), 5.7, 5.16, 5.17, 5.22
2. Everything that was assigned as
homework:
Chapter 2: 2.34, 2.35, 2.37, 2.41, 2.42,
Chapter 3: 3.4, 3.8, 3.12, 3.22, 3.23, 3.24(b), 3.28, 3.35
Chapter 4: 4.9, 4.11, 4.17 (Vertical angle theorem), 4.18, 4.19, 4.29
Chapter 5: 5.3, 5.8, 5.18
3. Additionally,
Chapter 3: 3.5 (Ruler placement theorem), 3.11, 3.15, 3.17, 3.18, 3.39,
3.50
Chapter 4: 4.8, 4.14, 4.27
Chapter 5: 5.4 (The crossbar theorem), Pappus’
proof of 5.7, 5.9, 5.10, 5.11, 5.12
4. Review ALL homework; know how to do
ALL homework problems correctly.
Review sessions:
1. March 15, in class and 12-1:30pm, PAR 120
2. March 14, 11:30-1:30 in Padelford
C-36, the usual Discussion session room (by Graham)