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OPENER. GEOMETRY LESSON 1-3. (For help, go to Lesson 1-2.). Judging by appearances, will the lines intersect?. 1. 2. 3. 4. the bottom 5. the top 6. the front 7. the back 8. the left side 9. the right side. Name the plane represented by each surface   of the box. 1-3.

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  1. OPENER GEOMETRY LESSON 1-3 (For help, go to Lesson 1-2.) Judging by appearances, will the lines intersect? 1.2.3. 4. the bottom 5. the top 6. the front 7. the back 8. the left side 9. the right side Name the plane represented by each surface   of the box. 1-3

  2. Geometry • Agenda: • ENTRANCE • Review Practice 1-2 • Sec. 1.3 – Segments, Rays, Parallel Lines, and Planes • Practice Assignment • Exit/foldable ***Quiz next class over Sec. 1.1-1.3!

  3. EXIT SLIP from Last Class • Use the table and inductive reasoning. • 1. Find the sum of the first 10 counting numbers. • Show that the conjecture is false by finding one • counterexample. • The sum of two prime numbers is an even number. • *A prime number’s only factors are 1 and itself! 3. Name three collinear points. 4. Name two different planes that contain points C and G. 5. Name the intersection of plane AED and plane HEG. 6. How many planes contain the points A, F, and H? 1-1

  4. Sec. 1.3 – Segments, Rays, Parallel Lines, and Planes • Segments • Part of a line consisting of 2 endpoints and all points between them. You name the segment by its endpoints. This is Segment AB. Points A and B are the endpoints of the segment.

  5. Rays • Part of a line consisting of 1 endpoint and all the points on one side of the endpoint. It extends in only one direction forever. You name a ray by its endpoint and one other point on it. This is Ray XY. Points X is the endpoint of the segment and point Y is another point on the ray.

  6. Opposite Rays • Two collinear rays with the same endpoint. • Opposite rays always form a line. are opposite rays. Together they form

  7. Rays in Nature

  8. Name the segments and rays in the figure. The labeled points in the figure areA,B,and C. A segment is a part of a line consisting of two endpoints and all points between them. A segment is named by its two endpoints. So the segments are ? A ray is a part of a line consisting of one endpoint and all the points of the line on one side of that endpoint. A ray is named by its endpoint first, followed by any other point on the ray. So the rays are ? Segments, Rays, Parallel Lines and Planes GEOMETRY LESSON 1-3 1-3

  9. On your own… • Problem on your sheet.

  10. Types of Lines • Intersecting • Lines will cross in the same plane • Parallel • Lines in the same plane that do not intersect • Skew • Lines not in the same plane that do not intersect *Skew lines are never parallel! Why?

  11. Examples?

  12. Applications in Nature

  13. Parallel Planes • Planes that do not intersect.

  14. Assignment/Practice • Finish 1-3 handout • Practice 1-3 • 1-6, 7-19(odd) • STUDY – Quiz next class (Sec. 1.1-1.3)!!!

  15. EXIT SLIP: Sec. 1.3 GEOMETRY LESSON 1-3 Use the figure below for Exercises 4 and 5. 3. Name a pair of parallel planes. 4. Name a line that is skew to XW. Use the figure below for Exercises 1-3. 1. Name the segments that form the triangle. 2. How do you know that no lines in the figure are parallel or skew? 1-3

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