If point C is between points A and B, then ___ + CB = AB.A.ACB.ABCC.BCD.ABSUBMITarrow_backPREVIOUS

To solve the problem about the relationship between the segments, we can follow a structured approach based on the principles of geometric segments:

1. ### Break Down the Problem

Given the points A, B, and C on a line with C located between A and B, we are to determine an appropriate expression that relates to the segments AC, CB, and AB.

2. ### Relevant Concepts

The fundamental concept applicable here is the line segment addition postulate, which states that if point C lies between points A and B on a straight line, then: $AB = AC + CB$

3. ### Analysis and Detail

In the given expression, we can denote:

• $AC$ as the length of the segment from A to C
• $CB$ as the length of the segment from C to B
• $AB$ as the length of the segment from A to B

According to the segment addition postulate noted above: $AC + CB = AB$

4. ### Verify and Summarize

Through verification, any specific values for segments AC or CB can be substituted into the equation, and the equality will hold true, thus reinforcing the correctness of the relationship derived from the geometric principles.

Final Answer

Thus, according to the equation derived, the correct answer to fill in the blank is: $AC + CB = AB$