Parallel and Perpendicular Lines Parallel Lines Two nonvertical
![Parallel and Perpendicular Lines Parallel and Perpendicular Lines](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-1.jpg)
![Parallel Lines. . . ● Two non-vertical lines are parallel if and only if Parallel Lines. . . ● Two non-vertical lines are parallel if and only if](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-2.jpg)
![Check-In Questions ● Write the equation of a line that is parallel to the Check-In Questions ● Write the equation of a line that is parallel to the](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-3.jpg)
![Perpendicular Lines ● Two non-vertical lines are perpendicular or orthogonal if and only if Perpendicular Lines ● Two non-vertical lines are perpendicular or orthogonal if and only if](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-4.jpg)
![Perpendicular Lines Continued ● The slopes of perpendicular lines are considered opposite reciprocals. o Perpendicular Lines Continued ● The slopes of perpendicular lines are considered opposite reciprocals. o](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-5.jpg)
![Check-In Question ● Write the equation of a line that is perpendicular to the Check-In Question ● Write the equation of a line that is perpendicular to the](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-6.jpg)
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![Parallel Lines. . . ● Two non-vertical lines are ______ if and only if Parallel Lines. . . ● Two non-vertical lines are ______ if and only if](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-9.jpg)
![Check-In Questions Submit your answers to the questions below using this form. ● Write Check-In Questions Submit your answers to the questions below using this form. ● Write](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-10.jpg)
![Perpendicular Lines ● Two non-vertical lines are _____ or ______if and only if the Perpendicular Lines ● Two non-vertical lines are _____ or ______if and only if the](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-11.jpg)
![Perpendicular Lines Continued ● The____of perpendicular lines are considered ___________. o Opposite refers to Perpendicular Lines Continued ● The____of perpendicular lines are considered ___________. o Opposite refers to](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-12.jpg)
![Check-In Question Submit your answers to the questions below using this form. ● Write Check-In Question Submit your answers to the questions below using this form. ● Write](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-13.jpg)
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- Slides: 14
![Parallel and Perpendicular Lines Parallel and Perpendicular Lines](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-1.jpg)
Parallel and Perpendicular Lines
![Parallel Lines Two nonvertical lines are parallel if and only if Parallel Lines. . . ● Two non-vertical lines are parallel if and only if](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-2.jpg)
Parallel Lines. . . ● Two non-vertical lines are parallel if and only if their slopes are equal. o If l 1║l 2, then m 1= m 2. o If m 1= m 2, then l 1║l 2. m 1 m 2 l 1 l 2
![CheckIn Questions Write the equation of a line that is parallel to the Check-In Questions ● Write the equation of a line that is parallel to the](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-3.jpg)
Check-In Questions ● Write the equation of a line that is parallel to the line y = 2/3 x+8. o y = 2/3 x-10 o y = 2/3 x+1234 ● Is the line y = 8/4 x-5 parallel to the line y = 2 x+7? o Yes. The two lines have equal slopes so they are parallel.
![Perpendicular Lines Two nonvertical lines are perpendicular or orthogonal if and only if Perpendicular Lines ● Two non-vertical lines are perpendicular or orthogonal if and only if](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-4.jpg)
Perpendicular Lines ● Two non-vertical lines are perpendicular or orthogonal if and only if the product of their slopes is -1. m 2 o If l 1┴l 2, then m 1 ● m 2= -1. o If m 1● m 2 = -1, then l 1┴l 2. Perpendicular lines form right angles! l 1 m 2 m 1 l 2 l 1 m 1 l 2
![Perpendicular Lines Continued The slopes of perpendicular lines are considered opposite reciprocals o Perpendicular Lines Continued ● The slopes of perpendicular lines are considered opposite reciprocals. o](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-5.jpg)
Perpendicular Lines Continued ● The slopes of perpendicular lines are considered opposite reciprocals. o Opposite refers to either positive or negative. o Reciprocal refers to taking the multiplicative inverse of the fraction. § For example if the slope is x, the reciprocal or inverse is 1/x.
![CheckIn Question Write the equation of a line that is perpendicular to the Check-In Question ● Write the equation of a line that is perpendicular to the](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-6.jpg)
Check-In Question ● Write the equation of a line that is perpendicular to the line y = 5/4 x+7. o y = -4/5 x-10 ● Is the line y = -3/4 x-2 perpendicular to the line y = 12/9 x? o Yes. The slopes are opposite reciprocals of each other. o 12/9 = 4/3 is the opposite multiplicative inverse of -3/4.
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End of Lesson!
![Slides for Students Slides for Students](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-8.jpg)
Slides for Students
![Parallel Lines Two nonvertical lines are if and only if Parallel Lines. . . ● Two non-vertical lines are ______ if and only if](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-9.jpg)
Parallel Lines. . . ● Two non-vertical lines are ______ if and only if their ____ are _____. o If l 1║l 2, then m 1___m 2. o If m 1= m 2, then l 1___l 2. m 1 m 2 l 1 l 2
![CheckIn Questions Submit your answers to the questions below using this form Write Check-In Questions Submit your answers to the questions below using this form. ● Write](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-10.jpg)
Check-In Questions Submit your answers to the questions below using this form. ● Write the equation of a line that is parallel to the line y = 2/3 x+8. ● Is the line y = 8/4 x-5 parallel to the line y = 2 x+7?
![Perpendicular Lines Two nonvertical lines are or if and only if the Perpendicular Lines ● Two non-vertical lines are _____ or ______if and only if the](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-11.jpg)
Perpendicular Lines ● Two non-vertical lines are _____ or ______if and only if the _____ of their ____ is -1. m 2 o If l 1┴l 2, then m 1___m 2= -1. o If m 1● m 2 = -1, then l 1___l 2. Perpendicular lines form right angles! l 1 m 2 m 1 l 2 l 1 m 1 l 2
![Perpendicular Lines Continued Theof perpendicular lines are considered o Opposite refers to Perpendicular Lines Continued ● The____of perpendicular lines are considered ___________. o Opposite refers to](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-12.jpg)
Perpendicular Lines Continued ● The____of perpendicular lines are considered ___________. o Opposite refers to either ____ or negative. o ____ refers to taking the multiplicative _______ of the fraction. § For example if the slope is x, the reciprocal or inverse is 1/x.
![CheckIn Question Submit your answers to the questions below using this form Write Check-In Question Submit your answers to the questions below using this form. ● Write](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-13.jpg)
Check-In Question Submit your answers to the questions below using this form. ● Write the equation of a line that is perpendicular to the line y = 5/4 x+7. ● Is the line y = -3/4 x-2 perpendicular to the line y = 12/9 x?
![End of Lesson End of Lesson!](https://slidetodoc.com/presentation_image_h2/b349848f153cec1e99ad1168222a9205/image-14.jpg)
End of Lesson!
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