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Understanding Parallel Lines, Rays, and Segments in Geometry

This resource explains the concepts of parallel lines, segments, and rays using real-world examples. Parallel lines are coplanar lines that never meet, while skew lines are non-coplanar lines that do not intersect or run parallel. The document includes examples of angle measurements, air traffic management, and classroom arrangements that illustrate these geometric principles. It also poses questions about the relationships between lines and planes, helping students reinforce their understanding through practical applications and quizzes.

barbara-acevedo
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Understanding Parallel Lines, Rays, and Segments in Geometry

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Presentation Transcript

  1. Bell work Describe some real world examples of parallel lines.

  2. 1-3: Segments, Rays , Parallel Lines and Planes • Many geometric figures, such as squares and angles, use only the parts of lines called segments and rays.

  3. 1.Yes; the segments have the same endpoints and contain the same points between them. 2. No; they have different endpoints and continue in different directions

  4. Opposite Rays • Two collinear rays with the same endpoint. They always form a line

  5. Q P L • Name 4 different rays in the figure below. LP QL PQ PL Name two opposite rays. PL and PQ

  6. Parallel Lines • Coplanar lines that do not intersect.

  7. Name all the segments shown that are parallel to • A. DC B. GJ C. AE AD, EF, BC, HI DF AB, GH, JI Skew lines do not lie in the same plane. They are not parallel and they do not intersect Ex: AB and HI

  8. Parallel Planes • Planes that do not intersect Parallel Planes Intersecting Planes

  9. Think about this! • Air traffic controllers keep eastbound and westbound airplanes from colliding by having them cruise at different altitudes. The airplanes thus pass each other in ____________. Parallel planes

  10. 1.Suppose two parallel planes A and B are each intersected by a third plane C. What do you think will be true of the intersection of planes A and C and the intersection of planes B and C? Give an example within this classroom. • 2. List four pairs of parallel planes in this classroom. • 3. The term skew is from a Middle English word meaning “to escape.” Explain why this might be an appropriate origin for the word that names skew lines.

  11. Lesson Quiz

  12. Real Quiz • Homework • Worksheet

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