Geometry Chapter 1

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  1. LINE
    contains at least 2 points
  2. PLANE
    contains at least 3 noncollinear points
  3. SPACE
    contains at least 4 noncoplanar points
  4. POSTULATE 6
    through any 2 points there is exactly 1 line
  5. POSTULATE 7
    • through any 3 points there is at least 1 plane
    • through any 3 noncollinear points there is exactly 1 plane
  6. POSTULATE 8
    if 2 points are in a plane, then the line that contains the points is in that plane
  7. THEOREMS:
    • If 2 lines intersect, then they intersect in exactly one point
    • Through a line and a pont not on the line, there is exactly one plane
    • If two lines intersect, then exactly one plane contains the lines
  8. "RULER POSTULATE"
    segments can be measured
  9. "SEGMENT ADDITION POSTULATE"
    If B is between A and C, then AB+BC=AC
  10. "PROTRACTOR POSTULATE"
    angles can be measured
  11. "ANGLE ADDITION POSTULATE"
    if point B lies in the interior of angle AOC, then m∠AOC+m∠BOC=m∠AOC.
  12. POSTULATE
    statement always accepted as true
  13. THEOREM
    an important statement that is proved

Card Set Information

Author:
 Toastedbread
ID:
 103411
Filename:
 Geometry Chapter 1
Updated:
 2011-09-21 22:45:02
Tags:
Geometry math postulate
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Description:
postulate descriptions
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