Q3 - Geometry

Question

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

Step-by-Step Solution

Answer

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

Step 1. Observe the figure.

Consider the figure.

Step 2. Apply the concept of the segment.

A segment has two defined ends that are the endpoints of the segment. That means a segment has 2 endpoints. A segment can be represented by taking two defined points. 

 

Here, a segment $\overline{AB}$ has two endpoints A and B on it, and similarly, the segment $\overline{BA}$ has two endpoints A and B.

Step 3. Relation between segment A B and B A .

Thus, the segment can be represented in both ways, $\overline{AB}$ or $\overline{BA}$ as the order of the segments doesn’t matter.

 

Therefore, $\overline{AB}$ is the same, because both represent the same segment.