On plotting the points 0(0,0),A(3,0),B(3,4), C(0,4) and joining 0A, AB BC and C0 . Which of the following figure is obtained?

Options

A. Square
B. Rectangle
C. Trapezium
D. Rhombus

Explanation

To solve the problem, we will follow these steps:

### Step 1: Plot the Points
We need to plot the given points O(0,0), A(3,0), B(3,4), and C(0,4) on a coordinate plane.

- Point O is at the origin (0,0).
- Point A is at (3,0), which is 3 units to the right of O on the x-axis.
- Point B is at (3,4), which is directly above A, 4 units up on the y-axis.
- Point C is at (0,4), which is directly above O, 4 units up on the y-axis.

### Step 2: Join the Points
Next, we will join the points in the order O, A, B, C, and then back to O:

1. Join O to A (O to A)
2. Join A to B (A to B)
3. Join B to C (B to C)
4. Join C to O (C to O)

### Step 3: Analyze the Figure
Now, we will analyze the shape formed by these points:

- The distance O to A is 3 units (horizontal).
- The distance A to B is 4 units (vertical).
- The distance B to C is 3 units (horizontal).
- The distance C to O is 4 units (vertical).

### Step 4: Determine the Type of Figure
Since we have opposite sides that are equal (O to A = B to C and A to B = C to O), we can conclude that the figure formed is a rectangle.

### Conclusion
The figure obtained by plotting the points O(0,0), A(3,0), B(3,4), and C(0,4) and joining them is a rectangle.

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