Postulates

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Postulate 1
Through two given points, one and only one straight line can be drawn
Postulate 2
Straight lines are the shortest distance between two points
Postulate 3
Straight lines may be extended indefinitely or limited at any point
Postulate 4
A circle or a part of one may be drawn about any point as center with any radius
Postulate 5
A geometric figure may be freely moved in space without any change in form or size
Postulate 6
Through a given point, only one line can be drawn parallel to a given line
Parallel Postulate
If two straight lines are parallel to a third straight line, then they are parallel to each other