This worksheet helps students practice translating geometric shapes across a coordinate plane by following specific directional instructions.

It looks like you've uploaded a worksheet titled "Translations of Shapes" that involves moving geometric shapes on a coordinate grid using specific translation rules (e.g., "move right 4 and up 2"). Since I can't view images directly, I’ll guide you through how to solve these types of problems step by step, assuming the worksheet contains typical translation exercises.

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🔍 What Is a Translation?

A translation is a type of transformation that moves every point of a shape the same distance in the same direction. It's often described as:
> "Move x units horizontally and y units vertically."

For example:
- “3 right and 1 up” means: add 3 to each x-coordinate and add 1 to each y-coordinate.
- “2 left and 4 down” means: subtract 2 from each x-coordinate and subtract 4 from each y-coordinate.

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✔ How to Solve Each Problem

Here’s a general method for solving each question on your worksheet:

#### Step 1: Identify the Original Shape
Look at the shape drawn on the grid. Note the coordinates of its vertices (corners). For example:
- A triangle with points at (1, 1), (3, 1), and (2, 3)

#### Step 2: Apply the Translation Rule
Use the instruction (like “2 right and 1 up”) to adjust each vertex.

Example:
- Move 2 right: Add 2 to each x-coordinate
- Move 1 up: Add 1 to each y-coordinate

So:
- (1, 1) → (1+2, 1+1) = (3, 2)
- (3, 1) → (5, 2)
- (2, 3) → (4, 4)

#### Step 3: Plot the New Points
On the grid, plot the new coordinates and connect them to form the translated shape.

#### Step 4: Draw the Translated Shape
Draw the new shape using the transformed points.

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📌 Example Walkthrough

Let’s assume one of the problems says:

> Translate the triangle 4 units right and 3 units up.

Original triangle has vertices:
- A(1, 2)
- B(2, 4)
- C(3, 2)

Apply translation:
- A → (1+4, 2+3) = (5, 5)
- B → (2+4, 4+3) = (6, 7)
- C → (3+4, 2+3) = (7, 5)

Now plot (5,5), (6,7), (7,5) and draw the new triangle.

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🧩 Tips for Accuracy

- Always label the original and translated shapes clearly.
- Double-check each coordinate after translation.
- Use graph paper or grid lines carefully.
- If the shape has more than 3 points (like a quadrilateral), do the same for all vertices.

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💡 Common Errors to Avoid

- Mixing up left/right (left = subtract from x, right = add to x)
- Confusing up/down (up = add to y, down = subtract from y)
- Forgetting to move all points of the shape

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✔ Final Answer Format

For each problem, you should:
1. List the original coordinates.
2. Apply the translation.
3. List the new coordinates.
4. Draw the translated shape on the grid.

Since I can’t see the actual image, I recommend following this process for each of the 8 problems on the worksheet.

If you can describe one specific problem (e.g., "Problem 1: Triangle with points (0,0), (2,0), (1,2); translate 3 right and 2 up"), I can walk you through it in detail.

Would you like to do that?