1. What is the Segment Addition Postulate?

The Segment Addition Postulate states that if point B lies between points A and C on a line segment, then the sum of the lengths of AB and BC equals the length of AC. This fundamental geometric principle is used extensively in coordinate geometry and proofs.

2. How Does the Calculator Work?

The calculator uses the Segment Addition Postulate formula:

Where:

• \( AB \) — Length of segment AB
• \( BC \) — Length of segment BC
• \( AC \) — Length of the entire segment AC

Explanation: The postulate simply adds the lengths of the two adjacent segments to find the length of the combined segment.

3. Importance of the Segment Addition Postulate

Details: This postulate is fundamental in geometry for solving problems involving collinear points, proving theorems, and calculating distances in coordinate geometry.

4. Using the Calculator

Tips: Enter the lengths of segments AB and BC in any consistent units (cm, inches, etc.). The calculator will compute the total length AC in the same units.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for non-collinear points?
A: No, the Segment Addition Postulate only applies when point B is between points A and C on the same line segment.

Q2: Can I use negative values for lengths?
A: No, lengths are always positive quantities. The calculator will only accept zero or positive values.

Q3: What if B is not between A and C?
A: The postulate doesn't apply in that case. The calculator assumes B is between A and C.

Q4: Does this work in three-dimensional space?
A: Yes, as long as the three points are colinear, the postulate holds regardless of dimension.

Q5: How precise are the calculations?
A: The calculator provides results rounded to two decimal places for clarity.