Question

The length of the line segment AB whose endpoints are A (a, b) and B (a, c) is ______ .

• A. $|c-b|$
• B. $|c+b|$
• C. $|2a+b|$
• D. $|a+b+c|$

Answer 1

The correct option is A $|c-b|$

The length of the line segment $AB$ whose endpoints are $A(a,b)$ and $B(a,c)$ is $|c-b$|.


Example:
The length of the line segment $AB$ whose endpoints are $A(2,3)$ and $B(2,10)$ can be found by finding the difference between the $y$-coordinates, as the x-coordinates are the same for the given two points.
The length of the line segment $AB=|10-3|$
$=7$ units