https://file.aiquickdraw.com/mathbot/file/17269378591723xedy0sz.jpg

The problem presented asks to find the coordinates of a fourth point such that the four points form the vertices of a rectangle. The three given points are already marked on a coordinate grid.

### Steps to find the fourth point:
1. **Identify the coordinates of the three given points** on the grid.
2. **Use the properties of a rectangle**: In a rectangle, opposite sides are parallel, and adjacent sides are perpendicular. Diagonals of a rectangle also bisect each other.

### Let's find the fourth point:
Looking at the image, we can observe three points:
- The point at (-3, 3)
- The point at (2, 3)
- The point at (2, -1)

Now, to complete the rectangle:
- The fourth point should lie vertically aligned with the point at (-3, 3) (same x-coordinate), and horizontally aligned with the point at (2, -1) (same y-coordinate).
  
So, the fourth point would be **(-3, -1)**.

Thus, the coordinates of the fourth point are **(-3, -1)**.

Let me know if you'd like further clarification or more details on the method!

Here are some related questions:
1. How can you verify that four points form a rectangle using distances?
2. What is the midpoint formula, and how can it be used in identifying rectangle diagonals?
3. Can you describe how the slope of perpendicular sides in a rectangle helps in identifying vertices?
4. How do diagonals help confirm the shape of a rectangle?
5. How would this problem change if you were asked to form a square instead of a rectangle?

**Tip:** When working with coordinates, always check the properties of shapes (such as parallelism and perpendicularity) to guide your answer.

Three points are marked on the coordinate grid. Find the coordinates of a fourth point so that the four points form the vertices of a rectangle.

Solve a coordinate geometry problem by finding the fourth vertex of a rectangle. Given three points, learn how to apply the properties of rectangles, including parallel sides and bisecting diagonals, to determine the fourth point. Suitable for students in Grades 6-7.

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