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Understanding Skew and Parallel Lines: Definitions, Properties, and Slope Concepts

This chapter explores the concepts of skew and parallel lines, providing definitions and distinguishing characteristics. Skew lines do not intersect and are not coplanar, while parallel lines neither intersect nor diverge within the same plane. We also discuss transversals and their relationship to angular measurements, including corresponding angles and angle converses that confirm line parallelism. Additionally, we cover the slope of a line as a ratio of vertical change to horizontal change and detail how to find y-intercepts using different forms of linear equations.

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Understanding Skew and Parallel Lines: Definitions, Properties, and Slope Concepts

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  1. Chapter 3 By Audrey, Monye, Emily, Jacob, and Peter Shum Shum

  2. Skew Lines – lines that do not intersect and are not coplanar Parallel Lines – lines that do not intersect and are coplanar Which lines are skew lines? Which lines are parallel lines?

  3. Transversal – line that intersects two or more coplanar lines at different points

  4. Converses: If any congruent corresponding, alternate interior, alternate exterior, or consecutive angles, then there are parallel lines.

  5. Slope – ratio of vertical change to horizontal change between two points in a line M= rise/run = y2-y1/x2-x1

  6. Y intercept form- y=mx+b Standard Form – Ax+By To find y-int, plug in y as 0. To find x-in, plug in points and solve for b. To find y-int, plug in x=0 To find x-int, plug in y as 0 To find slope, use –a/b

  7. Quiz How do you find the y-intercept in slope intercept form? What is the slope of the line perpendicular to a slope of 2/3? What does a slope of 0 look like?

  8. Homework Page 194 (5,9,16,25,28)

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