https://file.aiquickdraw.com/mathbot/file/1729244561109glonxiye.jpg

Let's go over each translation problem step by step. 

In the provided worksheet, each transformation is based on translating a shape on the coordinate plane, where the directions are given explicitly.

### 1. Translation: 3 right
- The triangle is moved 3 units to the right, so every point (x, y) of the triangle is transformed to (x + 3, y).
  
### 2. Translation: 2 right and 3 down
- The "L"-shaped figure is moved 2 units to the right and 3 units down. Thus, each point (x, y) of the figure transforms to (x + 2, y - 3).

### 3. Translation: 5 left
- The triangle is moved 5 units to the left. Each point (x, y) is transformed to (x - 5, y).

### 4. Translation: 4 left and 3 down
- The square-like figure is moved 4 units to the left and 3 units down. Therefore, every point (x, y) is transformed to (x - 4, y - 3).

### 5. Translation: 4 left and 5 down
- The arc-shaped figure is moved 4 units to the left and 5 units down. Each point (x, y) of the figure becomes (x - 4, y - 5).

### 6. Translation: 3 right and 4 up
- The triangle is moved 3 units to the right and 4 units up. Hence, every point (x, y) is transformed to (x + 3, y + 4).

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Would you like further details on any of these transformations?

### Related Questions:
1. How do we describe a translation in terms of a vector?
2. What is the general formula for translating a point (x, y)?
3. How do translations affect the size and orientation of a shape?
4. What is the difference between a translation and other transformations like rotations or reflections?
5. How can translations be represented algebraically?

### Tip:
When performing translations, always apply the same shift to every vertex of the shape to ensure the entire figure moves uniformly.

Solve translation problems from a coordinate plane worksheet.

This worksheet covers translations of geometric shapes on the coordinate plane. Learn how to move shapes with explicit directions and understand the translation formula. Suitable for students in Grades 6-8.

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