Final answer:
Gina is correct; AB equals BA on a number line because distances are independent of direction, adhering to the commutative property of addition.
Step-by-step explanation:
Yes, I agree with Gina that for any segment bar (AB) on a number line, AB = BA. This concept is based on the commutative property of addition which states that numbers can be added in any order and the sum will be the same. For example, if you have 2 + 3 or 3 + 2, the sum is always 5. Similarly, when we consider the distance between two points on a number line, the distance is independent of the direction. Whether you move from point A to point B or from point B to point A, the distance remains constant. This is why AB is equal to BA in terms of their length or distance on the number line.