Draw a quadrilateral with vertices A (4, 3), B(-4, 3), C(-4, -3) and D(4, -3). Draw its diagonals and write the coordinates of the point where the diagonals cut each other?

Answer

To solve the problem step by step, we will follow these instructions:

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

1. **Point A (4, 3)**: Start from the origin (0, 0). Move 4 units to the right (positive x-direction) and then move 3 units up (positive y-direction). Mark this point as A.

2. **Point B (-4, 3)**: From the origin, move 4 units to the left (negative x-direction) and then move 3 units up. Mark this point as B.

3. **Point C (-4, -3)**: From the origin, move 4 units to the left and then move 3 units down (negative y-direction). Mark this point as C.

4. **Point D (4, -3)**: From the origin, move 4 units to the right and then move 3 units down. Mark this point as D.

### Step 2: Connect the Points
Now, connect the points A, B, C, and D in order to form a quadrilateral. The order of connection should be A to B, B to C, C to D, and D back to A.

### Step 3: Draw the Diagonals
Draw the diagonals of the quadrilateral. The diagonals are:
- Diagonal AC (from A to C)
- Diagonal BD (from B to D)

### Step 4: Find the Intersection of the Diagonals
To find the coordinates of the point where the diagonals intersect, we can observe the quadrilateral.

1. **Diagonal AC** connects points A (4, 3) and C (-4, -3).
2. **Diagonal BD** connects points B (-4, 3) and D (4, -3).

Since the quadrilateral is symmetric about the origin, the diagonals will intersect at the origin (0, 0).

### Conclusion
The coordinates of the point where the diagonals cut each other are (0, 0).

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