If a point C lies between A and B, then AC + BC= ____

Options

A. 2AB
B. AB
C. 2BC
D. `(1)/(2)AB`

Answer

To solve the problem, we need to understand the relationship between the points A, B, and C on a line segment.

### Step-by-Step Solution:

1. **Identify the Points**: We have three points: A, B, and C. The point C lies between points A and B on a straight line.

2. **Define the Segments**:
- The segment AC represents the distance from point A to point C.
- The segment BC represents the distance from point B to point C.

3. **Apply the Segment Addition Postulate**: According to the segment addition postulate in Euclidean geometry, if a point C lies between points A and B, then the sum of the lengths of segments AC and BC is equal to the length of the segment AB.
- Mathematically, this can be expressed as:
\[ AC + BC = AB \]

4. **Conclusion**: Therefore, if point C lies between A and B, we can conclude:
\[ AC + BC = AB \]

### Final Answer:
AC + BC = AB

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