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Perpendicular and Parallel Slopes

Parallel Lines

  • The first line has Point C and Point D and is called Line CD.
  • The second line has Point A and Point D and it is called Line AB.
  • The graph bellow shows two parallel lines.
  • Here you can drag around the points and both lines would stay parallel to each other.
  • As you move around the points, what do you notice about the slope of Line CD and the slope of Line AB?

Parallel Lines

Instructions:

  • Put Point A on (3,0).
  • Put Point B on (5,3)
  • Put point C on (-3,-3)

What is the slope of line AB?

What is the slope of line CD?

What is the rule for two lines to be parallel?

  • In other words, what has to be true for the slope of Line AB and Line CD?

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Perpendicular Lines

  • The graph bellow shows two perpendicular lines.
  • Here you can drag around the points and both lines would stay perpendicular to each other.
  • As you move around the points, what do you notice about the slope of Line CD and the slope of Line AB?

Perpendicular Lines

Instructions:

  • Put Point A on (3,0).
  • Put Point B on (5,3)
  • Put point C on (-3,-3)

What is the slope of line AB?

What is the slope of line CD?

Instructions:

  • Put Point A on (0,1).
  • Leave Point B on (5,3)
  • Leave point C on (-3,-3)

What is the slope of line AB?

What is the slope of line CD?

Instructions:

  • Leave Point A on (0,1).
  • Put Point B on (5,-5)
  • Leave point C on (-3,-3)

What is the slope of line AB?

What is the slope of line CD?

What is the rule for two lines to be perpendicular?

  • In other words, what has to be true for the slope of Line AB and Line CD?
  • Or, How do you think the slope of both lines are related?