Plot the point B (5, 3), E(5, 1), S(0, 1) and T(0, 3) and answer the following:
i) Join the points and name the figure obtained.

Answer

To solve the problem, we will follow these steps:

### Step 1: Plot the Points
We need to plot the points B(5, 3), E(5, 1), S(0, 1), and T(0, 3) on a coordinate plane.

1. **Point B(5, 3)**: Move 5 units along the x-axis and 3 units up along the y-axis. Mark this point as B.
2. **Point E(5, 1)**: From the same x-coordinate (5), move 1 unit up along the y-axis. Mark this point as E.
3. **Point S(0, 1)**: Move to the origin (0, 0) and then move 1 unit up along the y-axis. Mark this point as S.
4. **Point T(0, 3)**: From the origin (0, 0), move 3 units up along the y-axis. Mark this point as T.

### Step 2: Join the Points
Now that we have plotted the points, we will join them in the following order: B to E, E to S, S to T, and T back to B.

1. **Join B and E**: Draw a vertical line connecting B(5, 3) and E(5, 1).
2. **Join E and S**: Draw a horizontal line connecting E(5, 1) and S(0, 1).
3. **Join S and T**: Draw a vertical line connecting S(0, 1) and T(0, 3).
4. **Join T and B**: Draw a horizontal line connecting T(0, 3) and B(5, 3).

### Step 3: Identify the Figure
After joining the points, we can analyze the shape formed by these points.

- The lines connecting B to E and S to T are vertical and equal in length (2 units).
- The lines connecting E to S and T to B are horizontal and equal in length (5 units).
- Since opposite sides are equal and parallel, the figure formed is a rectangle.

### Final Answer
The figure obtained by joining the points B(5, 3), E(5, 1), S(0, 1), and T(0, 3) is a rectangle.

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