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Parallel and Perpendicular Lines

Parallel and Perpendicular Lines. Pre AP Geometry Please use this presentation to complete the notes for a DIY grade Thank you  . Parallel Lines. Parallel lines remain the same distance apart over their entire length. To show that lines are parallel we draw small arrow marks on them.

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Parallel and Perpendicular Lines

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  1. Parallel and Perpendicular Lines Pre AP Geometry Please use this presentation to complete the notes for a DIY grade Thank you 

  2. Parallel Lines • Parallel lines remain the same distance apart over their entire length. • To show that lines are parallel we draw small arrow marks on them. • Shorthand: If you want to talk about two parallel lines there is a shorthand that can be used. For example, if you want to say that line PQ is parallel to line RS you could write : • PQǁRS • When looking at two equations parallel lines will have the SAME SLOPE.

  3. So looking at the equations which lines would be parallel to each other? • A) y=2x+1 y =3x+1 • B) y=1/2x+5 y=1x+1 • C) y=3x+1 y=3x+5

  4. If you guessed C you are right! • Remember: when you are looking at the form of y=mx+b… y=mx+b For C the slopes are the same: C) y=3x + 1 y=3x + 5 Y-Intercept Slope

  5. Perpendicular Lines • Perpendicular lines are two lines that meet at a right angle. • To write that line AB is perpendicular to line CD. • AB CD • When looking at two equations perpendicular lines have opposite and reciprocal slopes. C A B D

  6. Looking at the equations which pair of lines are perpendicular? • A) y=2/3x+1 y= 3x +2 B) y= 4x+2 y= 4x+5 C) y=2x+1 y=2x+1 D) y= 1/2X+2 y =-2X+2

  7. D is Correct! • Remember we are interested in the slopes • Y=1/2x + 2 • Y=-2x + 2 • So since ½ is positive we want a negative • Now if you flip ½ over you will get 2/1 which is the same thing as 2. • So we get -2

  8. Skew Lines • Non-Coplanar lines that do not Intersect. Not on the same plane

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