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We are given that each side of the rectangle **DEFG** is parallel to an axis, meaning the rectangle is aligned with the x-axis and y-axis. Also, the coordinates of points **E** and **G** are given as **E(4, 3)** and **G(-2, -1)**, respectively.

We need to find the coordinates of points **D** and **F**.

### Steps to solve:

1. **Point G**: Its coordinates are given as **G(-2, -1)**.
   - Since **G** and **D** are aligned vertically (because they form one side of the rectangle parallel to the y-axis), they must have the same **x-coordinate**. Hence, the x-coordinate of **D** is -2.
   - Point **D** will share the same **y-coordinate** as point **E**, which is 3, since **D** and **E** are on the same horizontal line (parallel to the x-axis).

   Therefore, the coordinates of point **D** are **D(-2, 3)**.

2. **Point F**: We know the y-coordinate of **F** must be the same as that of **G**, which is -1, because **F** and **G** form a horizontal side of the rectangle.
   - The x-coordinate of **F** will be the same as point **E**, which is 4, since **E** and **F** are vertically aligned.

   Therefore, the coordinates of point **F** are **F(4, -1)**.

### Final Answer:
- The coordinates of **D** are **(-2, 3)**.
- The coordinates of **F** are **(4, -1)**.

Let me know if you need further details or explanations!

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Here are 5 related questions:
1. How do we determine if lines are parallel to an axis based on coordinates?
2. What is the formula for the distance between two points on a coordinate plane?
3. How can you find the area of a rectangle using the coordinates of its vertices?
4. How would you calculate the perimeter of this rectangle?
5. Can you use the midpoint formula to find the center of rectangle **DEFG**?

**Tip:** When working with rectangles on a coordinate plane, focus on how the x and y coordinates relate for sides that are parallel to the axes.

Each side of the rectangle DEFG is parallel to an axis. Work out the coordinates of D and F. E(4, 3) and G(-2, -1) are given.

Work out the coordinates of points D and F for a rectangle DEFG, where each side is parallel to an axis. Given points E(4, 3) and G(-2, -1), this problem explores coordinate geometry concepts. Suitable for Grades 6-8.

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