https://file.aiquickdraw.com/mathbot/file/1727314555800p0zlz6jn.jpg

The image shows a geometric shape on a coordinate plane that is about to undergo a translation of 1 unit to the left. Translation means moving every point of the shape by a certain amount in a specific direction without rotating or resizing it.

### Translation Rules:
- Since the translation is **1 unit left**, it affects only the x-coordinates of the points.
- The translation rule for moving 1 unit to the left can be written as:
  \[
  (x, y) \rightarrow (x - 1, y)
  \]
  This means for every point, we subtract 1 from the x-coordinate and keep the y-coordinate unchanged.

Let's translate the points of the shape:

1. **Point \( X \)**:
   - Current coordinates: \( X(x_1, y_1) \)
   - After translation: \( X'(x_1 - 1, y_1) \)

2. **Point \( G \)**:
   - Current coordinates: \( G(x_2, y_2) \)
   - After translation: \( G'(x_2 - 1, y_2) \)

3. **Point \( Q \)**:
   - Current coordinates: \( Q(x_3, y_3) \)
   - After translation: \( Q'(x_3 - 1, y_3) \)

4. **Point \( U \)**:
   - Current coordinates: \( U(x_4, y_4) \)
   - After translation: \( U'(x_4 - 1, y_4) \)

### Next Steps:
You can plot the translated points directly by subtracting 1 from each x-coordinate of the original shape. This will shift the entire shape 1 unit to the left.

Do you want further details on how to calculate the exact coordinates for each point or explanations of other transformations?

Here are some related questions:

1. What are the exact coordinates of the points \( X \), \( G \), \( Q \), and \( U \) before translation?
2. How would the translation change if it was 2 units left instead of 1?
3. What happens to the shape if we translate it 1 unit right instead of left?
4. How can we use matrices to represent this translation?
5. Can you apply this translation to a different shape or in a different direction?

**Tip:** When translating points, always focus on whether the transformation affects the x-coordinate (left/right movement) or the y-coordinate (up/down movement).

Translate the given shape 1 unit to the left on the coordinate plane.

Learn how to translate a geometric shape 1 unit to the left on a coordinate plane. This tutorial covers translation concepts, coordinate transformations, and related theorems. Ideal for middle school students (Grades 6-8).

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