Plot the points `A(2,0), B(8,0),C(8,4)`. Complete the rectangle ABCD and find the co-ordinates of point D.

Explanation

To solve the problem of plotting points A(2,0), B(8,0), C(8,4) and finding the coordinates of point D to complete rectangle ABCD, follow these steps:

### Step 1: Plot the points A, B, and C on the coordinate plane.
- **Point A(2,0)**: This point is located 2 units along the x-axis and 0 units along the y-axis.
- **Point B(8,0)**: This point is located 8 units along the x-axis and 0 units along the y-axis.
- **Point C(8,4)**: This point is located 8 units along the x-axis and 4 units along the y-axis.

### Step 2: Draw the rectangle.
- Connect points A and B with a horizontal line (AB).
- Connect points B and C with a vertical line (BC).
- Now, we need to find point D.

### Step 3: Determine the coordinates of point D.
- Since ABCD is a rectangle, the opposite sides are equal.
- The length of side AB (horizontal) is the difference in x-coordinates of A and B:
\[ AB = x_B - x_A = 8 - 2 = 6 \]
- The height of side BC (vertical) is the difference in y-coordinates of B and C:
\[ BC = y_C - y_B = 4 - 0 = 4 \]

### Step 4: Find the coordinates of point D.
- Point D will have the same x-coordinate as point A (which is 2) and the same y-coordinate as point C (which is 4).
- Therefore, the coordinates of point D are:
\[ D(2,4) \]

### Step 5: Verify the rectangle.
- Now we can check the coordinates of all points:
- A(2,0)
- B(8,0)
- C(8,4)
- D(2,4)
- The rectangle ABCD is formed with opposite sides equal and all angles being right angles.

### Final Answer:
The coordinates of point D are **D(2,4)**.

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