parallel and perpendicular lines
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
Parallel and Perpendicular Lines
Pre AP GeometryPlease use this presentation to complete the
notes for a DIY gradeThank 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. •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.
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
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
SlopeY-Intercept
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.
A B
C
D
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
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
Skew Lines
• Non-Coplanar lines that do not Intersect.
Not on the same plane