Geometry
Chapter 3 Parallel & Perpendicular Lines
Unit 3-1 Pairs of Lines and Angles
- Standard 3a: Identify parallel, perpendicular, and skew lines
- Standard 3b: Identify the angles formed by two lines and a transversal
Outline
- Parallel, Perpendicular, and Skew Lines
- Define types of lines & planes (pay attention to symbols)
- Angle Pairs Formed by a Transversal
- Transversal
- Corresponding Angles
- Alternate Interior Angles
- Alternate Exterior Angles
- Same-Side Interior Angles
- Assignment 3-1: Pg 129 #2-7, 11-19, 24-28, 30
Unit 3-2 Angles Formed by Parallel Lines and Transversals
- Standard 3c: Use properties of parallel lines to solve for angles
- Standard 3d: Use properties of parallel lines to solve real world problems
- Standard 3e: Prove theorems about parallel lines
Outline
- Parallel, Perpendicular, and Skew Lines
- Define types of lines & planes (pay attention to symbols)
- Angle Pairs that are congruent when the lines intersected by a transversal are parallel
- Transversal
- Corresponding Angles
- Alternate Interior Angles
- Alternate Exterior Angles
- Same-Side Interior Angles
- Assignment 3-2: Part A Pg 135 #3-13, 17 Part B #18, 19, 21-23, 25-28
Unit 3-3 Proofs with Parallel Lines
- Standard 3f: Use the Converse Postulates & Theorems about Angles to Prove Lines Parallel
- Standard 3g: Construct Parallel Lines
- Standard 3h: Prove Theorems about Parallel Lines
- Standard 3i: Use the Transitive Property of Parallel Lines
Outline
- Finding the Converse of the Angles Postulates
- Using the Converse of the Angles Postulates to prove lines are parallel
- Assignment 3-3: Pg 142 #13-19, 21-28
Unit 3-4 Proofs with Perpendicular Lines
- Standard 3j: Find the Distance from a Point to a Line
- Standard 3k: Construct Perpendicular Lines
- Standard 3l: Prove Theorems about Perpendicular Lines
- Standard 3m: Solve Problems involving Perpendicular Lines
Outline
- Using the Converse of the Angles Postulates to prove lines are perpendicular
- Assignment 3-4: Pg 153 #11, 12, 17-23, 25
Unit 3-5 Equations of Parallel and Perpendicular Lines
- Standard 3n: Identify Parallel & Perpendicular Lines
- Standard 3o: Write Equations of Parallel & Perpendicular Lines
- Standard 3p: Use Slope to Find the Distance from a Point to a Line
Outline
- The Rise and Run of a Graph
- Parallel and Perpendicular Lines Theorems
- Assignment 3-5: