
Contact me: email: laurel.langford@uwrf.edu My schedule My office location: 206E NH My office phone number: 7154254360 
Grading policies, etc General syllabus 
Useful Links: 
Mon NH 16  Wed NH 16  Fri NH 16 
Sept 7: Introduction
to Math 411 
Assignment: Euclid's
property statements (do through Prop 16 for Monday) 

Sept 12 Assignment: Euclid's property
statements (finish and turn in Weds) 
Axiomatic systems and other geometries 
Isometric
transformations: moving from one place to another using
translations, rotations and reflections 
Sept. 19 Review and spherical
geometry: what is a spherical line? Think about: can you have a
translation on a sphere? A rotation? A reflection? 
Some more notes
on propositions (5, 15 and 27) and a video of postulate 5 The worksheet we're figuring out this week 
Quiz
1 (interpreting geometric statements) More with spheres 
Sept 26 Spheres and the hyperbolic plane and curvature Assignment: Figure out to how use rotations to move one triangle in the plane onto another congruent triangle. 
More hyperbolic plane stuff Assignment Hints: a video illustrating what happens in Hyperbolic vs Euclidean geometry Hints on the assignment 

Oct 3: Look
at axioms Assignment: be more specific with triangle rotations 
In class work 

Oct 10: Theorems
page (2) Prove theorem 3 for Wednesday 
Prove Theorem 4 for Friday 
Quiz 3prove a theorem: will be either theorem 1 or
theorem 2 
Oct 17: Write up (finish writing up) the
proof of the
theorem that says that a composition of two isometries is an isometry.
If you weren't in class, talk to someone who was.
If you
were in class, help someone who wasn't, 

Oct 24: Lemmas
for SAS 
Finish lemmas for SAS New copy of theorems: write in Givens and Thens. Homework practice Videos for homework: reflections and rotations; composition1, composition and special points, congruence, fixed points; prob 5 part 1, part 2 
SAS and lemmas for ASA 
Oct 31: ASA and duplicating segments Handout: new and improved theorems! For Wednesday: Watch how to prove Lemma 18 with the alternate version of Lemma 17, and compare it to the proof we did in class. Write up a proof of Theorems 19 and 20. Hints for 20 are here. 
Quiz 4: Theorems and lemmas 617. 

Nov 7:  
Nov. 14 
Quiz 5 

Nov. 21: Thm 31 worksheet  Happy  Thanksgiving 
Nov 28. 
Thm 33 video 

Nov. 5: Vid thm 40 Vid thm 41 Vid thm 42 
Quiz on thm 32 or 35. 
Quiz 6 
Dec 12: 



Final Exam: 