Problems 1-4
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.
Problems 5-10
See Example 1. Find the corresponding parts. Line segments or angles with the same marks have equal measures.
Problems 11-16
Remember that the sum of the measures of the interior angles in any triangle is 180°. See Example 2.
Problems 17-18
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.
Problems 19-20
Note that x and a given angle are exterior-angle property does not apply for these problems. Instead, note they are supplementary angles.
Problems 21-22
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.
Problems 23-28
See Figure 7.34. You will need a straightedge and a compass for these problems.
Problems 29-32
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.
Problems 33-36
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.
Problems 37-38
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.
Problems 39-44
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.
Problems 45-48
Remember that the sum of the measures of a triangle is 180°. See Example 2.
Problems 49-52
Answers vary; review the classifications of triangles at the beginning of this section.
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.
Algebra.help
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.
http://www.algebrahelp.com/
Quick Math
This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
http://www.quickmath.com/
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.
http://mathforum.org/