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Focus

Focus. For the most part I do the thing which my own nature drives me to do. -- Albert Einstein. Angle Relationships. Chapter 3 Section 1,2 Parallel Lines and Transversals Identify Parallel Lines, Planes and Transversals Name Transversals and Angles. Lines and Planes. A. B. R. D. C.

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Focus

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  1. Focus

  2. For the most part I do the thing which my own nature drives me to do. -- Albert Einstein Angle Relationships Chapter 3 Section 1,2 Parallel Lines and Transversals Identify Parallel Lines, Planes and Transversals Name Transversals and Angles

  3. Lines and Planes A B R D C A C B D S • Lines AB and CD are coplaner because they lie on the same plane • Coplaner lines that do not intersect are called parallel lines.

  4. Lines and Planes T M • Lines that do not intersect and are not coplaner are called skew lines. • Two planes can also be parallel

  5. Name the following: AB, BG, CD, ED, DF AB, EF CDB, CDE, EDF, CDF, BDF All planes parallel to ACD All lines that intersect DB All lines parallel to CD All angles with vertice D A B EFG D C G E F

  6. Transversals EF EF HF EG • A line that intersects two or more lines in a plane at different points is called a transversal. • If the Lines are extended? H F Name the Transversal E G

  7. Transversals • Draw a transversal H F Name the Transversal E G

  8. Transversals

  9. Angle Relations • Sets of angles are given specific names • Exterior Angles • Interior Angles 1 2 3 4 5 6 7 8

  10. Angle Relations 1 and 8 2 and 7 • Pairs of angles are given specific names Alternate exterior angles 1 2 3 4 5 6 7 8 Examine the measure of each pair !!!

  11. Angle Relations 4 and 5 3 and 6 • Pairs of angles are given specific names Alternate interior angles 1 2 3 4 5 6 7 8 Examine the measure of each pair !!!

  12. Angle Relations 3 and 5 3 + 5 = 180 4 + 6 = 180 4 and 6 • Pairs of angles are given specific names Consecutive interior angles 1. 2. 1 2 3 4 5 6 7 8 Examine the measure of each pair !!!

  13. Parallel Lines and Angle Pairs

  14. Angle Relations 1 and 5 2 and 6 3 and 7 4 and 8 • Pairs of angles are given specific names Corresponding angles 1 2 3 4 5 6 7 8 Examine the measure of each pair !!!

  15. Corresponding Angles Postulate What relationship does 1 and 2 have? 1 2 3 4 5 6 7 8

  16. Angle Relationships

  17. Angle Relationships

  18. Angle Relationships

  19. Angle Relationships

  20. Angle Relationships

  21. You Try 2 1 3 4 w 6 5 7 8 t s • Name a Transversal • Label the angles then name: • Exterior Angles • Interior Angles • Corresponding Angles • Alternate Interior Angles • Alternate Exterior Angles • Consecutive Interior Angles

  22. Homework p. 145-147 #12-36(even)

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