Note: Homework Hints are given only for the Level 1 and Level 2 problems.
However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.
On the other hand, the problems designated “Problem Solving” generally require techniques that do not have textbook examples.
There are many sources for homework help on the internet.
Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
Ask Dr. Math
Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
The Math Forum @ Drexel
This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have “right” or “wrong” answers. You should spend about five minutes in answering each of these questions.
See Example 1. Find the corresponding parts. Line segments or angles with the same marks have equal measures.
Remember that the sum of the measures of the interior angles in any triangle is 180°. See Example 2.
Recall, the measure of the exterior angles of a triangle equals the sum of the measures of the two opposite interior angles. See Example 4.
Note that x and a given angle are exterior-angle property does not apply for these problems. Instead, note they are supplementary angles.
In these problems, all three angle measures are given so you can use the exterior angles of a triangle equals the sum of the measures of the two opposite interior angles. See Example 4.
See Figure 7.34. You will need a straightedge and a compass for these problems.
See Figure 7.39. Use the properties of parallel lines from Section 7.2 along with the angles in a triangle property of this section.
Remember that the sum of the measures of the interior angles of a triangle is 180°. Write an equation and then solve for x. See Example 3.
Use the fact that the measure of the exterior angle of a triangle equals the sum of the measures of the two opposite interior angles to write an equation. Next, solve for x. See Example 4.
The sum of the angles of a triangle is 180°, so write an equation and solve the equation for x. Finally, state the three angles of the given triangle. See Example 3.
Remember that the sum of the measures of a triangle is 180°. See Example 2.
Answers vary; review the classifications of triangles at the beginning of this section.