Question

For the following figure, find $\overleftrightarrow{AB}$ is the same as $\overleftrightarrow{BA}$ or not.

Short answer

Yes, $\overleftrightarrow{AB}$ is the same as $\overleftrightarrow{BA}$.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of the line.

A line goes infinitely in both directions. It is represented by a two-headed arrow. A line can be represented by taking any two points.

Here, a line $\overleftrightarrow{AB}$ has two points A and B on it, and similarly, the line $\overleftrightarrow{BA}$has two points A and B on it.

Step 3. Relation between AB and BA.

Thus, the line can be represented in both ways, $\overleftrightarrow{AB}$or $\overleftrightarrow{BA}$as the order of the points is not considered while naming a line.

Therefore, $\overleftrightarrow{AB}$is the same $\overleftrightarrow{BA}$, because both represent the same line.