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Parallel, Perpendicular, and Oblique Lines

Parallel, Perpendicular, and Oblique Lines. Using Coordinate Geometry to Find and Compare t he Slopes of Lines. Parallel Lines. Two lines are Parallel if they lie in the same plane and do not intersect. Perpendicular Lines. Two lines are Perpendicular if they intersect at a right (90°).

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Parallel, Perpendicular, and Oblique Lines

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  1. Parallel, Perpendicular, and Oblique Lines Using Coordinate Geometry to Find and Compare the Slopes of Lines

  2. Parallel Lines • Two lines are Parallel if they lie in the same plane and do not intersect

  3. Perpendicular Lines Two lines are Perpendicular if they intersect at a right (90°)

  4. Oblique Lines Two lines are Oblique if they lie in the same plane but are neither Perpendicular nor Parallel

  5. Skew Lines Two lines are Skew if they do not lie in the same plane

  6. Slope Recall that slope = , so draw in a slope triangle to find the rise and run l 3 4 6 8

  7. Parallel Lines Since Parallel lines never intersect but lie in the same plane, they must have the same slope Slope of line l = l m 3 3 4 4 Slope of line m =

  8. Perpendicular Lines Since Perpendicular lines intersect at right angles, there slopes are opposite reciprocals Slope of line l = l 3 n 4 -3 Slope of line n = 4

  9. Oblique Lines Since Oblique lines are neither parallel nor perpendicular, there slopes are not equal, nor opposite reciprocals Slope of line l = l 3 q 4 -3 Slope of line q = 7

  10. Review Perpendicular Lines Intersect at a Right Angle Opposite Reciprocal Slope Parallel Lines Never intersect Same Slope Oblique Lines intersect at a non-right angle Non-equal and non-opposite recriprocal slopes

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