Postulates Made Easy

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Postulates Made Easy
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• Postulate-basic assumptions that cannot be proven
  true
• Theorems are statements that can be proved and
  are based on the postulates.

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• Straight Line Postulate-Two points determine a
  line

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• Plane Postulate-Three non-collinear points
  determine a plane

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• Flat-Plane Postulate-If two points are on a
  plane, then the line containing the points is in
  the same plane

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• Plane-Intersection Postulate-If two planes
  intersect, then their intersection is a line

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• Points-Existence Postulate-contains 3 parts
• 1-Given a line at least two points can be found
• 2-Given a plane at least three non-collinear
  points can be found
• 3-Four non-coplanar points can be found in space

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• Ruler Postulate-The points on a line can be
  paired with the real numbers so that the
  following statement is true
• ABlx-ylly-xl

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• Segment-Addition Postulate-K is between A and C
  if and only if K is on line AC and AKCKAC

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• Parallel Postulate (Euclidean Postulate)-Given a
  line and a point not on the line, exactly one
  parallel can be drawn

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The End!