Angles, Lines, and Parallel Lines
Student Handout
This lesson is designed to supplement the information on angles, lines and parallel lines
given in your text.
Objectives:
By the end of this lesson you will be able to:

define and identify the different types of angles.

identify the different types of lines and the angles associated with them.

identify the special pairs of angles formed by parallel lines and a transversal.

determine the measure of angles formed by intersecting lines and parallel lines cut
by a transversal
In order to begin, log on a computer with internet access and go to the following sites.
Site 1 -- http://www.math.com/school/subject3/lessons/S3U1L4GL.html
At this site you will work through 4 steps, First Glance, In Depth, Examples, and
Workout. When you have completed the “workout”, print the page, write your name at
the top and submit it to your instructor.
Site 2 -- http://www.math.com/school/subject3/lessons/S3U1L3GL.html
Follow the same directions as you did for Site 1.
Site 3 – http://www.math.com/school/subject3/lessons/S3U1L5GL.html
Follow the same directions as you did for Site 1 & Site 2.
Site 4 -- http://www.ies.co.jp/math/products/geo1/applets/kakuhei/kakuhei.html
Explore this site to discover the relationship between vertical angles, corresponding
angles, and alternate interior angles.
Site 5 -- http://www.keymath.com/DG/dynamic/parallel_lines.html
At this site you will be asked a series of questions about a sketch. Below you will find a
list of the same questions. Please answer the questions in the space provided and turn this
in to your instructor.
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Name ________________________
1. When you press "Corresponding Angles," you see angles GPA
and PQC. Which is another pair of corresponding angles?
A) GPA and EQD
B) BPG and DQP
C) BPG and APQ
2. Name another pair of alternate interior angles besides APQ and
DQP.
3. Name all pairs of alternate exterior angles.
4. What do you notice about corresponding angles?
5. What do you notice about alternate interior angles?
6. What do you notice about alternate exterior angles?
7. Formulate the Parallel Lines Conjecture: If two parallel lines are
cut by a transversal, then corresponding angles are _____,
alternate interior angles are _____, and alternate exterior angles
are _____.
Refer to the second sketch to answer the following questions.
1. Is your conjecture still true when the lines are not parallel?
2. Use this sketch to investigate the Converse of the Parallel Lines
Conjecture (C-4): If two lines are cut by a transversal to form pairs
of congruent corresponding angles, congruent alternate interior
angles, or congruent alternate exterior angles, then the lines are
_____.
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Site 6 -- http://www.shodor.org/interactivate/activities/angles/index.html
At this site, you may choose 1 or 2 transversals, and then given an angle measure you are
asked three questions. Be sure to “check answer” and “keep score” after each problem.
Click “new angles” to generate new problem. Do 8 problems, with your score showing do
an alt/print screen and paste it into a word document. Print the page, write your name at
the top and submit it to your instructor. Minimum score must be at least 80%.
Site 7 -- http://www.ies.co.jp/math/products/geo1/applets/kakuapb/kakuapb.html
To complete this lesson, go to the above site and answer the three questions on notebook
paper. Be sure to explain your reasoning. Label the assignment Site 7, write your name at
the top and turn it in to your instructor.
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