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Understanding Lines and Angles: Parallel, Skew, and Perpendicular Relationships

This chapter explores the relationships between lines and angles, focusing on parallel, skew, and perpendicular lines. Parallel lines are coplanar and never intersect, while skew lines are non-coplanar and also do not intersect. Perpendicular lines meet at a 90° angle. The section includes exercises that encourage learners to identify and classify angles as corresponding, alternate interior, alternate exterior, or consecutive interior. This foundational knowledge is essential for understanding the geometry of lines and angles in various contexts.

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Understanding Lines and Angles: Parallel, Skew, and Perpendicular Relationships

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  1. Chapter 3Section 3.1 Lines and Angles

  2. Relationships between lines • Parallel • Coplanar lines that never intersect • Planes can also be parallel • Skew • Non-coplanar lines that never intersect • Perpendicular • Lines that intersect to form a 90° angle

  3. Think of Each Segment in the Diagram As Part of a Line. Fill in the Blank With Parallel, Skew, or Perpendicular. • Perpendicular • Parallel • Skew 4. Parallel 5. Perpendicular

  4. 6. Name a line parallel to 7. Name a line perpendicular to 10. Name a line perpendicular to 8. Name a line skew to 9. Name a plane parallel to GHJ LMN

  5. Parallel and Perpendicular Lines Click on book to access online learning activity.

  6. 1 2 5 6 7 8 4 3 Corresponding Angles:1 and 7, 2 and 8, 4 and 5, 2 and 8 Alternate Interior: 7 and 6, 5 and 8 Alternate Exterior: 4 and 2, 3 and 1 Consecutive Interior: 7 and 5, 6 and 8

  7. Complete the Statement With Corresponding, Alternate Interior, Alternate Exterior, or Consecutive Interior corresponding • 6 and 10 are __________ angles • 7 and 9 are __________ angles • 8 and 9 are __________ angles • 12 and 8 are __________ angles • 5 and 11 are __________ angles • 8 and 10 are __________ angles alternate interior consecutive interior corresponding alternate exterior alternate interior

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