anglesandparallellines

1. List pairs of angles by the special names you learned in Lesson 3-1.
2. Which pairs of angles listed in Exercise 1 have the same measure?
3. What is the relationship between consecutive interior angles?

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

4. Make a conjecture about the following pairs of angles formed by two parallel lines and a transversal. Write your conjecture in if-then form.
a. corresponding angles b. alternate interior angles
c. alternate exterior angles d. consecutive interior angles
5. Rotate the transversal. Are the angles with equal measure in the same relative location as the angles with equal measures in your original drawing?
6. Test your conjectures by rotating the transversal and analyzing the angles.
7. Rotate the transversal so that the measure of any of the angles is 90.
a. What do you notice about the measures of the other angles?
b. Make a conjecture about a transversal that is perpendicular to one of two parallel lines.

Cyndi Kersch, Created with GeoGebra