slopes of parallel and perpendicular lines objectives: 1. discover the relationships between the...
TRANSCRIPT
![Page 1: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/1.jpg)
Slopes of Parallel and Perpendicular Lines
Objectives:1. Discover the relationships between the slopes of parallel lines and perpendicular lines.
![Page 2: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/2.jpg)
What type of lines do lines “p” and “q” look like?
parallel lines
![Page 3: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/3.jpg)
Calculate the slope of each.
![Page 4: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/4.jpg)
slope of p = slope of q = = 4
14
1
12
3
![Page 5: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/5.jpg)
What do you notice about the slopes of these two lines?• The slopes are congruent.C-12: Parallel Slope Conj.In a coordinate plane, two lines are _____________if and only if their slopes are ____________.
parallel
congruent
![Page 6: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/6.jpg)
Are these lines parallel?
slope a = -
slope b = -6
1
NO – Slopes are not
5
1
![Page 7: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/7.jpg)
Are these lines parallel?
slope c =
slope d = =5
4
5
410
8
YES – Slopes are
![Page 8: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/8.jpg)
C-22 Perpendicular Slope Conjecture:Two nonvertical lines are _____________ if and only if their slopes are perpendicular
opposite (or negative) reciprocals of each other.
![Page 9: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/9.jpg)
You will be shown the slopes of two lines. On the corner of your notes write down whether each pair of lines are parallel, perpendicular, or neither.
![Page 10: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/10.jpg)
1. slope of line r =
slope of line s =
4
3
4
3
These lines are parallel.
![Page 11: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/11.jpg)
2. slope of line t =
slope of line u =
These lines are perpendicular.
7
4
4
7
![Page 12: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/12.jpg)
3. slope of line t =
slope of line u =
These lines are parallel.
8
6
4
3
![Page 13: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/13.jpg)
4. slope of line t =
slope of line u =
NEITHER!! Slopes are not congruent or opposite
reciprocals of each other.
8
9
9
8
![Page 14: Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines](https://reader035.vdocument.in/reader035/viewer/2022062518/56649e905503460f94b944d4/html5/thumbnails/14.jpg)
5. slope of line t =
slope of line u = 7
Perpendicular.
7
1