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Select the postulate that states a line is determined by two points.

  1. Postulate 1: A line contains at least two points.
  2. Postulate 1a: A plane contains at least three points not all on one line.
  3. Postulate 1b: Space contains at least four points not all on one plane.
  4. Postulate 2: Through any two different points, exactly one line exists.
  5. Postulate 3: Through any three points that are not one line, exactly one plane exists.
  6. Postulate 4: If two points lie in a plane, the line containing them lies in that plane.
  7. Postulate 5: If two planes intersect, then their intersection is a line.

Verified Answer :

Hardlytrustworthy
  1. Postulate 2: Through any two different points, exactly one line exists.

    Postulate 2 and Postulate 1 are the only two postulates that really make sense. Postulate 2 is your answer instead of Postulate 1 for the following reason:

    Postulate 1 states that a line contains at least two points.
    Postulate 2 states that through any two different points, exactly one line exists.

    Postulate 1 says that all lines contain at least two points, while Postulate 2 says that two points contain a line.

Answer:

c

Step-by-step explanation:

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