Transformation of geometric shapes worksheet - Free Printable

It looks like you've uploaded a worksheet about translating shapes on a grid. The task involves moving (or translating) each shape a certain number of squares in specified directions and drawing the new position of the shape.

Since I can't see the actual image, I'll help you solve the problem based on the description and typical format of such worksheets. Let's go through each part step by step.

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🔷 Understanding Translations:

A translation means sliding a shape without rotating or resizing it. You move every point of the shape the same distance in the same direction.

- Moving right = increase in x-coordinate
- Moving left = decrease in x-coordinate
- Moving up = increase in y-coordinate
- Moving down = decrease in y-coordinate

We’ll apply these rules to each shape.

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## ✔ Step-by-step Solutions:

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A: Triangle moved 2 squares right

- Find the coordinates of the three corners of the triangle.
- Add 2 to the x-coordinate of each corner.
- Draw the new triangle at those new positions.

✔ Example:
If original points are (1,5), (1,3), (3,3), then after moving 2 right → (3,5), (3,3), (5,3)

> Draw this new triangle 2 squares to the right of the original.

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B: Triangle moved 4 squares down

- Subtract 4 from the y-coordinate of each vertex.
- Redraw the triangle in the new position.

✔ Example:
Original: (4,6), (6,6), (4,4) → New: (4,2), (6,2), (4,0)

> The triangle is now 4 squares lower.

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C: Right triangle moved... (likely "3 squares left & 1 square up")

The text is cut off, but based on common problems, likely:
> "Draw the image after it has been moved 3 squares left & 1 square up."

- Subtract 3 from x-coordinates
- Add 1 to y-coordinates

✔ Example:
Original: (5,4), (5,7), (8,4) → New: (2,5), (2,8), (5,5)

> Move left 3, up 1.

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E: Square moved 4 squares right & 2 squares up

- Take each corner of the square.
- Add 4 to x, add 2 to y.

✔ Example:
If square has corners at (1,1), (1,3), (3,3), (3,1), then new corners:
→ (5,3), (5,5), (7,5), (7,3)

> Draw the square shifted right 4 and up 2.

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F: Triangle moved 3 squares right & 2 squares down

- Add 3 to x, subtract 2 from y for each vertex.

✔ Example:
Original: (2,6), (4,4), (3,8) → New: (5,4), (7,2), (6,6)

> Shift right 3, down 2.

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G: Rectangle moved 2 squares left & 1 square down

- Subtract 2 from x, subtract 1 from y.

✔ Example:
Original rectangle: (6,5), (6,7), (9,7), (9,5) → New: (4,4), (4,6), (7,6), (7,4)

> Move left 2, down 1.

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## ✔ How to Draw Each Image:

1. Identify the vertices (corners) of the shape.
2. Apply the translation to each vertex:
- Right → +x
- Left → −x
- Up → +y
- Down → −y
3. Plot the new points.
4. Connect them in the same order as the original.

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## 🧩 Tips for Accuracy:

- Use the grid lines carefully.
- Count squares, not just estimate.
- Label your points if needed.
- Double-check that all vertices moved the same amount.

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Final Answer Summary:

| Letter | Movement | Action |
|--------|-------------------------------|--------|
| A | 2 squares right | Add 2 to x of each vertex |
| B | 4 squares down | Subtract 4 from y |
| C | Likely: 3 left, 1 up | −3 to x, +1 to y |
| E | 4 right, 2 up | +4 to x, +2 to y |
| F | 3 right, 2 down | +3 to x, −2 to y |
| G | 2 left, 1 down | −2 to x, −1 to y |

👉 On your grid, draw the new shape using these translated coordinates.

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If you can describe the exact coordinates of one shape (e.g., “Shape A has corners at (1,2), (1,5), (3,2)” etc.), I can give you the exact new coordinates for each.

Let me know if you'd like a visual explanation or want me to generate a sample solution!