Unit 3 parallel and perpendicular lines answer key

Video Transcript

Hello, okay, so this question just seems to ask: what's between our parallel and perpendicular lines, so for parallel, so parallel lines are going to have the same slope at each other and lines that are perpendicular so make the symbol here, meaning perpendicular or 90 degree angle are Going to have, while the slopes are going to be negative, reciprocal negative reciprocal of each other. Was that mean? Let'S saying we have a line or maybe y is equal to, let's say maybe: 2 third x, plus 1? Okay, there's some line a line parallel to that, while the slope of a line parallel would have the same slope. So the slope of this line is just a coefficient of x, so 2 thirds so a line parallel will also have slope 2 thirds, but a line perpendicular would have while the negative reciprocal reciprocal of 2 thirds is 3 halves and the negative reciprocal would be negative. 3 halves so therefore, a line perpendicular would have slope negative 3 halves in this case.

​Priority Standard:  G-C0.9: Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a traversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segments's endpoint.
​ 
Topics and "I can" Statements:

1. I can identify corresponding, alternating interior, alternate exterior and consecutive interior angles using parallel lines and a transversal.
2. I can apply the relationships between corresponding, alternating interior, alternate exterior and consecutive interior angles to find unknown angle measures.
3. I can use angle relationships to prove that lines are parallel.
4. I can prove lines perpendicular and parallel.
5. I can find slopes given a graph or two ordered pair.
6. I can identify parallel and perpendicular slopes.
7. I can find equations of lines in slope-intercept form.

​
Unit 3: Parallel and Perpendicular Lines Resources
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Unit 3: Parallel and Perpendicular Lines Note Packet: Blank Copy

Unit 3- Section #1: Identify Pairs of Angles and Identify Pairs of Angles using Lines and Transversals (pg. 2-5) 
          Identify Pairs of Angles and Identify Pairs of Angles using Lines and Transversals Lesson: Guided Notes  
          Lesson Videos:
               Vocabulary/Example #1 (pg. 12-13)
               Vocabulary/Definitions/Theorems 
               Examples #2-#4
               Example #5 and #6
          Unit 3- Worksheet #1: Identify Pairs of Angles/Identify Pairs of Angles using Lines and Transversals
          Unit 3- Worksheet #1: Answer Key

Unit 3- Section #3: Prove Lines are Parallel (pg. 6-8) 
          Prove Lines are Parallel Lesson:  Guided Notes
          Lesson Videos:
               Vocabulary/Definitions/Theorems
               ​Examples #1-4
          Unit 3- Worksheet #2: Prove Lines are Parallel
          Unit 3- Worksheet #2: Answer Key

Unit 3- Section #4: Prove Theorems about Perpendicular Lines (pg. 8-9) 
          Prove Theorems about Perpendicular Lines Lesson: Guided Notes
          Lesson Videos:
               Prove Theorems about Perpendicular Lines Lesson
          Unit 3- Worksheet #3: Prove Theorems about Perpendicular Lines
          Unit 3- Worksheet #3: Answer Key

Unit 3- Section #4: Find and Use Slopes of Lines (pg. 10-12) 
          Find and Use Slopes of Lines Lesson: Guided Notes
          Lesson Videos:
               Review
          Unit 3- Worksheet #4: Find and Use Slopes of Lines
          Unit 3- Worksheet #4: Answer Key

Unit 3- Section #5: Writing and Graphing Equations (pg. 13-16) 
          Writing and Graphing Equations Lesson: Guided Notes
          Lesson Videos:
               Review
          Unit 3- Worksheet #5: Writing and Graphing Equations
          Unit 3- Worksheet #5: Answer Key

Unit 3- Review Material
          Unit 3- Parallel and Perpendicular Lines: Assessment Review
          Unit 3- Parallel and Perpendicular Lines Assessment Review: Answer Key