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Parallel and Perpendicular Lines

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching (assuming that these lines are on the same plane).
Parallel Lines in greater depth

On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of  these lines intersects at 90 degrees.
Perpendicular Lines in greater depth.
Example of two parallel lines.
As you can see from the diagram below, these lines
  • have the same slope
    • 2
  • are never going to intersect
Example of two perpendicular lines.
As you can see from the picture below:
  • the slope of these lines are negative reciprocals
    • 2 and - ½ are negative reciprocals
  • these lines are perpendicular and intersect at 90 degrees
Diagram of two parallel lines with equal slope



 Parallel lines in greater depth 

Both of the lines below have the same slope: ½
Therefore these lines are parallel and will never meet. Example of two parallel lines
Are the two lines pictured below parallel?

 Answer 

Classify these lines as parallel or not
Are the two lines below parallel?
Answer

Parall Lines Image

 

  Perpendicular Lines in greater depth 
Are the two lines in the picture below perpendicular?

  Answer  

Determine whether or not lines 6 and 5 perpendicular?


 Answer  
 
Are Line P and line L perpendicular?

 Answer  



Example of Perpendicular Lines

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