Problems 1-8
Problem 1 is somewhat of a puzzle problem. After you see both the young and the old woman you can't help seeing both. However, to see them for the first time is a callenge. Problem 2 makes the point that you should not answer qestions in geometry by looking only at the figure... somethimes there is more there than can be readily seen. The answers to Problems 3-8 are found by reading the section.

Problems 9-20
See Figure 5.6. Do not trace these segments. Instead, complete the construction to reproduce the desired segment.

Problems 21-28
See if you can draw a line so that the image on one side of the line is an exact reflection of the image on the other side.

Problems 29-36
Before attempting these problems, be sure you understand the meaning of the terms translation, rotation, dilation, and contraction. See Figure 5.13.

Problems 37-45
Before attempting these problems, be sure you understand the the differences amoung segments, lines, and rays the notation used to denote these geometric figures.

Problems 46-47
Look again at Figure 5.13 to distinguish between the terms translation, rotation, dilation, and contraction. However, you can also use common sense when answering these questions.

Problems 48-49
Follow the directions and don't be afraid to start several times. You may be fascinated by the result. Most people who do these problems begin and as they are working come up with a "better idea." Then they decide to start over. You may go through this process several times.

Problems 50-55
These problems are designed to give you practice with thinking in three dimensions. If you can not do these problems mentally, you can actually cut out these patterns and build the cube.

Note: Homework Hints are given only for the levels 1 and 2 problems. You can also check some sources for homework help on the Internet (see Links, below), or you can call the author at (707) 829-0606 or send an e-mail to: smithkjs@mathnature.com