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Understanding Parallel and Skew Lines: Identifying Relationships and Classifying Angles

This lesson provides an in-depth exploration of relationships between parallel and skew lines or planes. Students will learn to identify segments that are parallel or skew to given lines and classify angle pairs formed by parallel lines and transversals. Through interactive examples, students will classify relationships like alternate interior, corresponding, and consecutive interior angles. Practical scenarios involving bus stations and hiking trails will offer real-world applications of these concepts. Engage in identifying transversals and relationships between angles to solidify understanding of geometric principles.

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Understanding Parallel and Skew Lines: Identifying Relationships and Classifying Angles

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  1. Splash Screen

  2. You will be able to • Identify relationships between two lines or two planes. • Classify angle pairs formed by parallel lines and transversals. Then/Now

  3. Concept

  4. A. Name all segments parallel to BC. Identify Parallel and Skew Relationships Example 1

  5. B. Name a segment skew to EH. Identify Parallel and Skew Relationships Example 1

  6. Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Example 1

  7. A. Name a plane that is parallel to plane RST. A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX Example 1a

  8. B. Name a segment that intersects YZ. A.XY B.WX C.QW D.RS Example 1b

  9. C. Name a segment that is parallel to RX. A.ZW B.TZ C.QR D.ST Example 1c

  10. Transversal-

  11. Concept

  12. Classify Angle Pair Relationships A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 2

  13. Classify Angle Pair Relationships B. Classify the relationship between 1 and 7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 2

  14. Classify Angle Pair Relationships C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 2

  15. Classify Angle Pair Relationships D. Classify the relationship between 3 and 5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 2

  16. A. Classify the relationship between 4 and 5. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2a

  17. B. Classify the relationship between 7 and 9. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2b

  18. C. Classify the relationship between 4 and 7. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2c

  19. D. Classify the relationship between 2 and 11. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2d

  20. Identify Transversals and Classify Angle Pairs A. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 1 and 2. Then classify the relationship between the pair of angles. Example 3

  21. Identify Transversals and Classify Angle Pairs B. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 2 and 3. Then classify the relationship between the pair of angles. Example 3

  22. Identify Transversals and Classify Angle Pairs C. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 4 and 5. Then classify the relationship between the pair of angles. Example 3

  23. A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal. A. lines c, f B. lines c, d, e C. lines c, d, f D. lines c, d, e, f Example 3a

  24. B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal. A. no lines B. lines c, f C. lines c, d, e, f D. lines a, c, d, e, f Example 3b

  25. C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal. A. no lines B. lines a, b, d, e, f C. lines a, d, f D. lines a, b, e Example 3c

  26. Putting it Together List the angle pairs of each type in the diagram. 1 5 2 6 7 3 4 8 Corresponding Alternate Interior Alternate exterior Consecutive Interior

  27. End of the Lesson

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