Q5 - Geometry

Question

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

Step-by-Step Solution

Answer

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

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 A B and B A .

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.