Segment Addition Postulate
The Segment Addition Postulate is a basic principle in geometry that states that if you have a line segment with three points A, B, and C, then the distance between point A and point C is equal to the sum of the distances between point A and point B, and point B and point C
The Segment Addition Postulate is a basic principle in geometry that states that if you have a line segment with three points A, B, and C, then the distance between point A and point C is equal to the sum of the distances between point A and point B, and point B and point C.
Mathematically, this can be represented as:
AB + BC = AC
Let’s illustrate this with a simple example:
Suppose we have a line segment AB, and we are asked to find the length of the entire segment AC.
Let’s say the length of AB is 5 units, and the length of BC is 3 units.
Using the Segment Addition Postulate, we can determine the length of AC.
AB + BC = AC
5 + 3 = AC
8 = AC
Therefore, the length of line segment AC is 8 units.
It’s important to note that the Segment Addition Postulate can be extended to any number of line segments. For example, if we have multiple line segments in a row, we can find the total distance covered by adding up the individual segment lengths using the Segment Addition Postulate.
Overall, the Segment Addition Postulate is a fundamental concept in geometry that allows us to find the length of a line segment by adding up the lengths of smaller segments.
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