
Contact
me: email: laurel(dot)langford(at)uwrf(dot)edu My schedule My office location: 206E NH My office phone number: 7154253119 
Grading
policies, etc

Useful Links: 
email Dr Langford: laurel.langford@uwrf.edu
Schedule:
Mon  Wed  Fri 
Sept 2 NH 16 
Axiomatic systems 

Sept 7 Labor day 
Exploring and understanding spherical and hyperbolic
geometry 
More with spherical and hyperbolic geometry 
Sept 14 Finish spherical and hyperbolic geometry. Axioms for the different systems.
(Brief discussion of elliptical geometry) 
Understanding postulates and axioms for Euclidan
geometry. New
handout Draw what the parts of axioms 3 and 4 on the new handout mean. 
Quiz (spherical and hyperbolic geometry) Homework: Transformations 
Sept 21 In the list of List of Axioms and Theorems 2015 prove the second bullet property in the congruence definition. Example in class (includes statement of what to prove for this assignment) 
In class we discussed the assigned proof. Here are some notes: 
In class we discussed theorem 2, Notes 
Sept 28 Quiz (understanding wording of postulates and
theorems) Assignment (learn some constructions) Watch this Do this 
Discussion of angle duplication and SAS. Assn: finish SAS  Discussion of constructions. Assn: figure out 1. how to construct a square given a side, 2.how to construct a square in a circle, given the circle (and center) 3. how to construct a regular octagon 
Oct 5: New version of the Axioms and Theorems 2015! Assignment (do problems 14 and 6) More comments and hints on #6 (proof of the new theorem 8)video 
Page 3 of the theorems list passed out. Assignment: do #7 from the previous assignment. 
Prove for 7b, that the triangles ABC and DEF are congruent. 
Oct 12: Write ups of theorems
17 
Quiz: Constructions and theorems 17 Make sure you know the constructions of a perpendicular bisector, perpendicular to a line through a point, duplicating and angle, and bisecting an angle. 

Oct 19: 

Oct 26:  Proofs of theorem 17. I suggest you first write up Pappus' proof, because it's short. I also suggest that if you did not get full credit on ASA that you try writing up the isometry proof too so you can get feedback to help you on next week's quiz. 
Practice
problems for the quiz. 
Nov 2: Solutions to practice problems  Quiz  
Nov. 9 
No class. 

Nov. 16: Homework: Prove theorems 26, 27 


Nov 23. Quiz Parallel theorems proofs to study Construction writeups to study. 
Happy  Thanksgiving 
Nov 30: First things to do: More circle investigations. Prove or disprove the quadrilateral conjectures on page 5 of the theorems list. 


Dec 7:  Quiz 

Final exam is  Thursday, December 17 @ 10:15 a.m.  12:15 p.m. 