Postulate

• For any segment, the measure of the whole is equal to the sum of the measure of its non-overlapping parts

  Segment addition postulate
• Through any points there is exactly one line

  Postulate
• If two line line intersects, the they intersect all exactly one point

  Postulate
• If two parallel line are intersected by a transversal, then the corresponding angles are equal in measure equal in measure

  Corresponding angles postulate
• If two line are intersected by a transversal, then the corresponding angles are equal in measure, then the lines are parallel.

  Converse of corresponding angles postulate