Transformation Page: Links

Reading Assignments

Reading in Brown, Weeks 9 and 10

Information and Notes

Glide Reflections

Translations and Glide Reflections -- including invariant line and glide vector

Glide Reflection Facts -- with pictures

Half-turn product with line reflection is glide reflection - Six ways to see this

Java Sketchpad Animations for Glide Reflections in p4gm

Orbits

Orbit Links and Information

Orbits of Transformations

Class Notes

Wednesday 11/26 - Fundamental Theorems for Isometries

Composition of Isometries (from Monday 12/1)

Composition Theorems and Constructions already seen

New Composition Theorems and Constructions

A page of Composition Study Problems

12-01 Example of Composition of two rotations

12-03 Triple Line Reflections are Glide Reflections (mostly)

12-05 Constructing Isometries from Images of Triangles and Segments

12-05 Table of Clues -- Fixed Points and Invariant Lines

12-05 Orientaton of Products of Isometries -- as easy as 2+3!

12-05 Transformation Proofs of Napoleon and Fermat Point Properties - with study references for key ideas and tools.

12-05 Angle between a line and its rotated image

Labs

Lab 9A - results to be turned in

Lab 9B - results to be turned in

Lab 7 from 2002 poses all the general questions about line composition. It has an answer sheet linked.

Assignments

Assignment 9


Study Material and Old Problems

Terminology: What is Defining Data for an Isometry?

Questions on compositions -- with some answers

Quiz from 2002 -- try this without answers first


Wallpaper and Symmetry Links from around the World