3 1 Parallel Lines And Planes Filled Out

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3 1 Parallel Lines And Planes Filled Out

  1. 1. Parallel lines and planes 3-1
  2. 2. Parallel Lines <ul><li>Coplanar </li></ul><ul><li>Don’t intersect </li></ul>
  3. 3. Skew Lines <ul><li>Noncoplanar </li></ul><ul><li>Don’t intersect </li></ul>
  4. 4. <ul><li>Segments and rays can be parallel or skew </li></ul>
  5. 5. Parallel Planes (Which planes are parallel?)
  6. 6. Theorem 3-1 <ul><li>If 2 parallel planes are cut by a third plane, then the lines of intersection are parallel. </li></ul>
  7. 7. Transversal <ul><li>A line that intersects two or more coplanar lines </li></ul>Transversal
  8. 8. Alternate interior angles <ul><li>Two nonadjacent interior angles on opp. Sides of the transversal </li></ul>3 and 6 4 and 5
  9. 9. Same side interior angles <ul><li>Two interior angles on the same side of the transversal </li></ul>4 and 6 3 and 5
  10. 10. Corresponding angles <ul><li>Two angles in corresponding position relative to the two lines </li></ul>2 and 6 1 and 5 3 and 7 4 and 8
  11. 11. Time to see what you learned…
  12. 12. Which lines are skew? <ul><li>AB and CD </li></ul><ul><li>EF and HG </li></ul><ul><li>HE and AD </li></ul><ul><li>AB and DH </li></ul><ul><li>BD and EH </li></ul>A B C D E F G H 0 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  13. 13. Which angle is the same side interior angle to D? <ul><li>A </li></ul><ul><li>E </li></ul><ul><li>F </li></ul><ul><li>H </li></ul><ul><li>C </li></ul>A B C D E F G H 0 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  14. 14. Which angle is the alternate interior angle to D? <ul><li>A </li></ul><ul><li>E </li></ul><ul><li>F </li></ul><ul><li>H </li></ul><ul><li>C </li></ul>A B C D E F G H 0 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  15. 15. Which angle is the corresponding angle to C? <ul><li>A </li></ul><ul><li>E </li></ul><ul><li>F </li></ul><ul><li>H </li></ul><ul><li>G </li></ul>A B C D E F G H 0 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
  16. 16. SPICSA <ul><li>Page 76 2,4,6,12,14,16 </li></ul><ul><li>Page 77 24,26,28,30,32,34 </li></ul>

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