Table of Contents Date: Topic: Description: Page:

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.

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

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.

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 _______________.

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.

Example 3:

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)

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:  

Summary