Click on the green points and drag them to change the figure.|
Place the middle point on the line between A and B. Is C between A and B?
|Manipulative 1 - Segment Addition Postulate Created with GeoGebra.|
The segment addition postulate states that given three points A, B and C on a line, C is between A and B if and only if AC + CB = AB. If C lies between A and B, then the sum of AC and CB equals AB. Also, if the sum of AC and CB equals AB, then C lies between A and B.
This postulate defines what it means to say "Point C is between point A and point B." If point C is not on the same line as AB, then the distance of AC plus CB is always greater than AB. So, a point can not be between two other points unless it is on the same line as the other points. If C is on the same line as A and B, but lies outside of A and B, then AC + CB > AB.
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