3-3+Parallel+Lines+&+Transversals

__**Text book pages**:__ 143 - 149 www.themathlab.com/dictionary/pwords/pwords.htm (scroll down to parallel) Visit the textbook for more help and practice problems
 * __Websites:__** www.themathlab.com/dictionary/twords/twords.htm (scroll down to transversal)

This section will teach you how to find the measurements of other angles while only knowing the measurement of one of the angles. There are four theorems and one postulate that will help prove the measurements:

__**Theorems:**__ //Alternate Interior Angles:// If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent //Consecutive Interior Angles:// If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary //Alternate Exterior Angles:// If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent //Perpendicular Transversal:// If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other

__**Postulate:**__ //Corresponding Angles:// If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent __**Vocabulary:**__ //Transversal-// a line intersecting a two or more lines //Parallel lines-// side by side and having the same distance continuously in between them

__**Sample Problems:**__

1)

2) Find m<1

Consecutive Interior Angles

3)


 * __On your own:__**

1) Find x. State which theorem you used.



2) Find y. State which theorem you used.



3) Name the theorem / postulate you used to find each

4) Complete the proof.