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?
----------------------------------------------------------
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?