3rd Test - Slope and parallel lines
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The document discusses using slope and perpendicular lines (⊥) on a coordinate plane. It explains that two non-vertical lines are parallel if they have the same slope. Two non-vertical lines are perpendicular if the product of their slopes is -1. The document poses three examples of line pairs and asks to determine if they are parallel, perpendicular, or neither based on their slopes.
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3rd Test - Slope and parallel lines
- 1. Using slope with // and ⊥
- 2. Things you should know 1 4 7 82 3 5 6 Your Name Here
- 3. Finding the slope 1 4 7 82 3 5 6 Your Name Here
- 4. Postulates on Slope and // • In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope • Any two vertical lines are parallel 1 4 7 82 3 5 6 Your Name Here • In a coordinate plane, two non-vertical lines are perpendicular iff the product of their slopes is -1 • Horizontal lines are perpendicular to vertical lines
- 5. Finding parallelness(?) • Check to see the relationship between these lines. 1 4 7 82 3 5 6 Your Name Here 1. Line1 contains (-2, 4) and (1,2) Line2 contains (6,3) and (4,0) 2. Line1 contains (-1, -2) and (1,2) Line2 contains (1,1) and (3,5) 3. Line1 contains (3, 1) and (-2,3) Line2 contains (3,0) and (0,5)
- 6. Summary • On the coordinate plane, we can use slope to determine if lines are parallel, perpendicular or neither – List the 4 different types of slope with a picture – Explain in words the process for finding the slope – Explain how to prove lines are parallel – Explain how to prove lines are perpendicular
- 7. Summary • On the coordinate plane, we can use slope to determine if lines are parallel, perpendicular or neither – List the 4 different types of slope with a picture – Explain in words the process for finding the slope – Explain how to prove lines are parallel – Explain how to prove lines are perpendicular