Translation Worksheets - Free Printable

It looks like you've uploaded a worksheet titled "Translation of Triangles" that asks students to graph the image of each triangle using given transformations on a coordinate grid. Since I can't view images directly, I’ll help you solve this type of problem step-by-step based on typical instructions and examples found in such worksheets.

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🔍 Understanding the Task

The goal is to translate (slide) each triangle on the coordinate plane according to the given directions (e.g., "3 units right and 2 units up"). A translation moves every point of a shape the same distance in the same direction.

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✔ How to Solve Each Problem

Let’s assume the worksheet has 8 problems, each with:
- A triangle plotted on a coordinate grid.
- A transformation instruction (e.g., “4 units left and 1 unit down”).
- A blank grid to draw the translated triangle.

#### 🔧 Steps to Translate a Triangle:

1. Identify the coordinates of the three vertices (corners) of the original triangle.
2. Apply the translation to each vertex:
- Right → Add to x-coordinate
- Left → Subtract from x-coordinate
- Up → Add to y-coordinate
- Down → Subtract from y-coordinate
3. Plot the new points on the grid.
4. Connect the new points to form the translated triangle.

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📌 Example Walkthrough

Suppose one triangle has vertices at:
- A(1, 2)
- B(3, 1)
- C(2, 4)

And the instruction is: "3 units right and 2 units up"

Then:
- A' = (1 + 3, 2 + 2) = (4, 4)
- B' = (3 + 3, 1 + 2) = (6, 3)
- C' = (2 + 3, 4 + 2) = (5, 6)

Plot these new points and connect them.

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⬇️ Common Transformations (Examples):

| Instruction | Change in Coordinates |
|------------|------------------------|
| 2 units right | x → x + 2 |
| 1 unit down | y → y - 1 |
| 3 units left and 4 units up | x → x - 3, y → y + 4 |

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✔ Tips for Accuracy:

- Always label the original and translated triangles clearly.
- Use arrows or labels like A → A' to show corresponding points.
- Double-check each coordinate after applying the translation.

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🛠️ How to Complete the Worksheet:

For each problem, follow these steps:

1. Write down the original coordinates of the triangle's vertices.
2. Apply the translation rule to each point.
3. Plot the new points on the grid.
4. Draw the new triangle.

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💡 Final Answer Format (Example):

If the original triangle has points A(0,0), B(2,0), C(1,3), and the translation is "2 units right and 1 unit down", then:

- A'(2, -1)
- B'(4, -1)
- C'(3, 2)

👉 Graph these new points and connect them.

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Since I can’t see your specific image, if you describe one of the problems (e.g., the coordinates of the triangle and the translation instruction), I can walk you through solving it exactly.

Alternatively, if you want, you can copy and paste the text of the worksheet here, and I’ll help you solve all the problems!