1. Table of Contents
Date: Topic: Description: Page:

2. 3.2 : Angles and Parallel Lines
Students will be able to use theorems to determine the relationships between specific pairs of angles.
Students will be able to use algebra to find angle measurements.

3. Corresponding Angle Postulate
Vocabulary
Vocabulary
Definition
Picture
Corresponding Angle Postulate
If two _______________ are cut by a transversal, then each _____________ of corresponding angles is congruent.

4. Example 1: Use the diagram below to find the missing angle measure
Example 1: Use the diagram below to find the missing angle measure. Tell which postulates (or theorems) you used.
a) If m∠11 = 51, find m ∠ 15.
∠ 11 ≅∠_________ because….
m ∠ 11 =∠________ because….
m ∠ 15 = _________ because…..
b) If m ∠ 11 = 51, find m ∠ 16.

5. Vocabulary Vocabulary Definition Picture
 Alternate Interior Angles Theorem
If ___________________
___________ are cut by a transversal, then each pair of alternate interior angles is congruent.
Consecutive Interior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of _________________________ is _____________________.
Alternate Exterior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of ________________________ is _______________.

6. Example 2: The diagram represents the floor tiles in Michelle’s house.
a) If m∠2 = 125, find m ∠ 3.
b) If m ∠ 2 = 125, find m ∠ 4.

7. Example 3:

8. Example 4: Use the diagram below to determine the value of the variable.
a) If m∠5 = (2x-10), and m ∠ 7= x+15
b) If m ∠ 4 = (4(y-25))and m ∠ 8=(4y)

9. Perpendicular Transversal Theorem
Vocabulary
Vocabulary
Definition
Picture
Perpendicular Transversal Theorem
If a line is perpendicular to one of two _____________________, then it is perpendicular to the other.
Denoted by:  

10. Summary