Exploration 1

Drag the points and the line around the page. What are the parameters for this family of relations? Are the relations that map C, D, and E to C', D', and E' functions? Are they isometries? If so, what family of isometries is represented in this applet?

Isometry Investigation 1

Drag the points around the page. What type of isometry do you think is represented in this applet? Construct a mathematical argument for your response.

Composition of two reflections over parallel lines

Is the composition still an isometry and, if so, what type of isometry? Provide a proof of your answer.

Reflection in 3 Parallel Lines