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 principle is used extensively in geometry.

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 provides a simple way to calculate the length of an entire segment when you know the lengths of its parts.

3. Importance of the Segment Addition Postulate

Details: This postulate is essential for solving many geometry problems involving line segments, including proofs, constructions, and coordinate geometry problems.

4. Using the Calculator

Tips: Enter the lengths of 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: Can this be used for non-linear segments?
A: No, the Segment Addition Postulate only applies to collinear points (points that lie on the same straight line).

Q2: What if point B is not between A and C?
A: The postulate doesn't apply. The sum AB + BC would not equal AC in this case.

Q3: Can this be extended to more than three points?
A: Yes, for collinear points A, B, C, D, etc., the total length AD = AB + BC + CD.

Q4: How precise should my measurements be?
A: The calculator provides results to two decimal places, but your precision should match your measurement accuracy.

Q5: Does this work with negative lengths?
A: No, lengths are always positive values in geometry.