https://r2.erweima.ai/mathbot/image/17261621787217zam3td6.jpg

Let's analyze the image.

### Question 1:
You are asked to identify the coordinates of points A to F on the Cartesian plane.

Looking at the diagram:

- **Point A** is at \((-2, 0)\)
- **Point B** is at \((0, 3)\)
- **Point C** is at \((0, 0)\)
- **Point D** is at \((2, 2)\)
- **Point E** is at \((2, -2)\)
- **Point F** is at \((-2, -1)\)

### Question 2:
You are given a quadrilateral \( ABCD \) with the following points:
- \( A(-2, 5) \)
- \( B(-2, 1) \)
- \( C(4, 1) \)
- \( D(4, 5) \)

The shape is a rectangle because:
- Both pairs of opposite sides are parallel.
- \( A \) and \( B \) have the same x-coordinate (vertical line), and \( C \) and \( D \) also share the same x-coordinate (vertical line).
- \( A \) and \( D \), as well as \( B \) and \( C \), share the same y-coordinates, indicating horizontal lines.

This confirms the quadrilateral is a rectangle.

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Do you have any further questions or need more details?

### Additional Questions:
1. How do we determine the type of quadrilateral based on its coordinates?
2. What are the key properties of rectangles in terms of their sides and angles?
3. How do you calculate the distance between two points on a Cartesian plane?
4. Can we calculate the area of quadrilateral ABCD? If yes, how?
5. How do you identify symmetry in Cartesian plane figures?

### Tip:
When identifying a rectangle, check if opposite sides are equal and parallel by comparing the coordinates.

1. Identify the coordinates of points A to F on the Cartesian plane.
2. Given quadrilateral ABCD with coordinates A(-2, 5), B(-2, 1), C(4, 1), and D(4, 5), determine its shape and explain.

Learn how to identify coordinates of points A to F on a Cartesian plane, and how to determine the shape of quadrilateral ABCD using coordinate geometry. Suitable for students in Grades 7-9.

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