Lab 7: A Loose End using Dilations and a Beginning with Line Reflections

Part 1:

How to construct common tangents to two circles using the concept of dilation.

For this part of the lab, download the Sketchpad file commontans.gsp and follow the instructions.

Part 2:

Composition of Line Reflections and other Isometries with Sketchpad

This is a rather long lab (if you can't finish, don't worry) but it is long on thinking but not so long on difficulty of construction.

The main theme is to understand what happens to a shape if it is reflected two or more times in lines. The key is to relate the "double line reflections" to other transformations found in the GSP Transform menu.

This part of the lab is at this link.