https://file.aiquickdraw.com/mathbot/file/1727843090069dgs33zol.jpg

To address the task in the image:

You are asked to **sketch a coordinate plane** showing four points and the rectangles determined by each point. The points are given as:

1. \( (1, 2) \)
2. \( (-2, 2) \)
3. \( (-3, -1) \)
4. \( (2, -3) \)

### Here's a breakdown of the steps involved:

1. **Plot the points** on a standard Cartesian plane.
   - \( (1, 2) \) is in the first quadrant.
   - \( (-2, 2) \) is in the second quadrant.
   - \( (-3, -1) \) is in the third quadrant.
   - \( (2, -3) \) is in the fourth quadrant.

2. **Draw the rectangles** based on each point:
   - For each point, the rectangle will likely have its sides aligned with the x-axis and y-axis. Since the question refers to a previous example (Example 1), that example would provide details on the dimensions or additional constraints for the rectangles.

Would you like me to generate the coordinate plane sketch for you? Let me know if you need further clarification or details.

### Here are five follow-up questions related to this task:
1. How do you calculate the area of the rectangles formed by these points?
2. What are the possible lengths and widths of the rectangles based on the coordinates?
3. How can we determine if the rectangles overlap or intersect on the coordinate plane?
4. Can you describe the relationship between the points' positions in different quadrants and the signs of their coordinates?
5. How would the plot change if one or more of the coordinates were shifted?

**Tip:** Always label the axes and the points clearly when sketching graphs for better understanding.

Sketch a coordinate plane showing the following four points, their coordinates, and the rectangles determined by each point: (1,2), (-2,2), (-3,-1), (2,-3).

Learn how to sketch a coordinate plane with points (1, 2), (-2, 2), (-3, -1), and (2, -3) and understand the rectangles determined by these points. This task includes plotting points on a Cartesian plane and identifying quadrants and rectangle properties. Ideal for Grade 6-8 students.

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