Write 'T' for true and 'F' for false in case of each of the following statements
Two points A and B in a plane determine a unique line segment.

Answer

To determine whether the statement "Two points A and B in a plane determine a unique line segment" is true or false, we can follow these steps:

### Step 1: Understand the Definition of a Line Segment
A line segment is defined as a part of a line that is bounded by two distinct endpoints. In this case, the endpoints are points A and B.

**Hint:** Remember that a line segment has two endpoints and is the shortest distance between them.

### Step 2: Identify the Points
We have two points, A and B, in a plane.

**Hint:** Visualize or draw the points A and B on a piece of paper to better understand their relationship.

### Step 3: Connect the Points
When we connect points A and B, we create a line segment. This line segment includes all the points that lie on the straight path between A and B.

**Hint:** Think about how many different ways you can connect two specific points.

### Step 4: Determine Uniqueness
Since a line segment is defined by its two endpoints, there can only be one line segment that connects points A and B. No matter how you draw it, the line segment will always be the same.

**Hint:** Consider if you could draw another line segment between A and B that is different from the first one.

### Step 5: Conclusion
Since there is only one way to connect two distinct points A and B, we conclude that the statement is TRUE.

**Final Answer:** T (True)