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What is the Ruler Postulate?

Answer – According to the ruler postulate:

  • Every point on a line can be equated to a real number; the real number representing the point is called its coordinate.

  • The distance between any two points on the line equals the absolute value of the difference of their coordinates.

Explanation: 

The ruler postulate is especially useful while trying to find the lengths of line segments.

For example, consider two points A = 10 and B = 25.

The distance between A and B, given by AB = | 25  10 | = 15.

Even if AB is found using | A  B |, the answer would be the same.

 | 10  25 | = | 15 | = 15

Length is always positive. Hence, it is always equal to the absolute value.


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