 |
|
|
|
|
| |
|
|
|
The Betweenness Theorem
|
|
|
|
|
The Betweenness of Points Theorem is a theorem which states that: If A-B-C, then AB + BC = AC.
Definition: (Betweenness of Points)
A point is between two other points on the same line if its
Coordinate is between their coordinates. (More briefly, A-B-C if a<b<c or a>b>c.)
Theorem 1 - The Betweenness of Points Theorem
If A-B-C, then AB + BC = AC.
Proof for case in which a<b<c
Betweenness Theorem can also be depicted by saying that If C is between A and B and on  , then AC + CB = AB. |
| |
|
|
|
| |
|
|
|
