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:
- I can identify corresponding, alternating interior, alternate exterior and consecutive interior angles using parallel lines and a transversal.
- I can apply the relationships between corresponding, alternating interior, alternate exterior and consecutive interior angles to find unknown angle measures.
- I can use angle relationships to prove that lines are parallel.
- I can prove lines perpendicular and parallel.
- I can find slopes given a graph or two ordered pair.
- I can identify parallel and perpendicular slopes.
- I can find equations of lines in slope-intercept form.
Unit 3: Parallel and Perpendicular Lines Resources
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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