This worksheet challenges students to draw shapes in new positions on a grid based on translation instructions like '3 units to the right'.
Maths worksheet showing translation exercises on coordinate grids with shapes like a square, cross, smiley face, and rabbit.
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Show Answer Key & Explanations
Step-by-step solution for: Translations (1) - Geometry (Shape) for year 5 (age 9-10) by ...
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Show Answer Key & Explanations
Step-by-step solution for: Translations (1) - Geometry (Shape) for year 5 (age 9-10) by ...
You're working on a translation worksheet — which means moving shapes on a grid without rotating or resizing them, just sliding them in the direction and distance specified.
Let’s go through each shape one by one, explaining how to translate it, and then describe where to draw the new shape.
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- Original position: The square is at column 2–3, row 2–3. Its bottom-left corner is at (2,2).
- Instruction: Translate 3 units to the right.
- How to do it: Add 3 to the x-coordinate of every point.
- New bottom-left corner: (2+3, 2) = (5,2)
- So the square will now occupy columns 5–6, rows 2–3.
- ✔ Draw the same square starting at (5,2).
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- Original position: Centered roughly around (4,5). Each arm extends 1 unit in each direction.
- Instruction: Translate 4 units down.
- How to do it: Subtract 4 from the y-coordinate of every point.
- Original center: (4,5) → new center: (4, 5–4) = (4,1)
- So the plus sign moves down so its center is now at row 1.
- ✔ Draw the same plus sign centered at (4,1).
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- Original position: Center of face is at approximately (5,6).
- Instruction: Translate 5 units to the left.
- How to do it: Subtract 5 from the x-coordinate.
- New center: (5–5, 6) = (0,6)
- So the smiley moves all the way to the left edge of the grid.
- ✔ Draw the smiley face centered at (0,6).
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- Original position: Base of arrow is at column 4, row 1; top at row 3.
- Instruction: Translate 4 units up.
- How to do it: Add 4 to the y-coordinate of every point.
- Bottom of arrow: was at y=1 → now y=5
- Top of arrow: was at y=3 → now y=7
- ✔ Draw the double arrow with base at row 5, top at row 7, still centered at column 4.
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- Original position: Roughly from column 3–5, row 2–3.
- Instruction: Translate 4 units up and 3 units to the right.
- How to do it:
- Add 3 to x-coordinates → move right 3
- Add 4 to y-coordinates → move up 4
- Original bottom-left corner: say (3,2) → new position: (3+3, 2+4) = (6,6)
- ✔ Draw the fish starting at (6,6) — it should now be near the top-right of the grid.
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- Original position: Base from column 5–7, row 2–3; roof peak at (6,5).
- Instruction: Translate 5 units to the left and 1 unit up.
- How to do it:
- Subtract 5 from x-coordinates → move left 5
- Add 1 to y-coordinates → move up 1
- Original bottom-left corner: (5,2) → new: (5–5, 2+1) = (0,3)
- Roof peak: (6,5) → (6–5, 5+1) = (1,6)
- ✔ Draw the house starting at (0,3), with roof peak at (1,6).
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## 🖍️ Summary of Where to Draw Each Translated Shape:
| Shape | New Position (approx.) |
|---------------|--------------------------------------|
| Gray Square | Columns 5–6, Rows 2–3 |
| Plus Sign | Centered at (4,1) |
| Smiley Face | Centered at (0,6) |
| Double Arrow | Columns 4, Rows 5–7 |
| Fish | Starting at (6,6), same size/orientation |
| House | Starting at (0,3), roof peak at (1,6) |
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✔ Important Tip: When translating, every point of the shape moves the same amount in the same direction. Just pick key corners or centers, move them, and redraw the shape exactly as it was — no stretching or turning!
You can now draw these translated shapes on your worksheet using the above instructions. Let me know if you want me to sketch them for you visually!
Let’s go through each shape one by one, explaining how to translate it, and then describe where to draw the new shape.
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🔹 Shape 1: Gray Square (Top Left)
- Original position: The square is at column 2–3, row 2–3. Its bottom-left corner is at (2,2).
- Instruction: Translate 3 units to the right.
- How to do it: Add 3 to the x-coordinate of every point.
- New bottom-left corner: (2+3, 2) = (5,2)
- So the square will now occupy columns 5–6, rows 2–3.
- ✔ Draw the same square starting at (5,2).
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🔹 Shape 2: Plus Sign (Top Right)
- Original position: Centered roughly around (4,5). Each arm extends 1 unit in each direction.
- Instruction: Translate 4 units down.
- How to do it: Subtract 4 from the y-coordinate of every point.
- Original center: (4,5) → new center: (4, 5–4) = (4,1)
- So the plus sign moves down so its center is now at row 1.
- ✔ Draw the same plus sign centered at (4,1).
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🔹 Shape 3: Smiley Face (Middle Left)
- Original position: Center of face is at approximately (5,6).
- Instruction: Translate 5 units to the left.
- How to do it: Subtract 5 from the x-coordinate.
- New center: (5–5, 6) = (0,6)
- So the smiley moves all the way to the left edge of the grid.
- ✔ Draw the smiley face centered at (0,6).
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🔹 Shape 4: Double Arrow (Middle Right)
- Original position: Base of arrow is at column 4, row 1; top at row 3.
- Instruction: Translate 4 units up.
- How to do it: Add 4 to the y-coordinate of every point.
- Bottom of arrow: was at y=1 → now y=5
- Top of arrow: was at y=3 → now y=7
- ✔ Draw the double arrow with base at row 5, top at row 7, still centered at column 4.
---
🔹 Shape 5: Fish (Bottom Left)
- Original position: Roughly from column 3–5, row 2–3.
- Instruction: Translate 4 units up and 3 units to the right.
- How to do it:
- Add 3 to x-coordinates → move right 3
- Add 4 to y-coordinates → move up 4
- Original bottom-left corner: say (3,2) → new position: (3+3, 2+4) = (6,6)
- ✔ Draw the fish starting at (6,6) — it should now be near the top-right of the grid.
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🔹 Shape 6: House-like Shape (Bottom Right)
- Original position: Base from column 5–7, row 2–3; roof peak at (6,5).
- Instruction: Translate 5 units to the left and 1 unit up.
- How to do it:
- Subtract 5 from x-coordinates → move left 5
- Add 1 to y-coordinates → move up 1
- Original bottom-left corner: (5,2) → new: (5–5, 2+1) = (0,3)
- Roof peak: (6,5) → (6–5, 5+1) = (1,6)
- ✔ Draw the house starting at (0,3), with roof peak at (1,6).
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## 🖍️ Summary of Where to Draw Each Translated Shape:
| Shape | New Position (approx.) |
|---------------|--------------------------------------|
| Gray Square | Columns 5–6, Rows 2–3 |
| Plus Sign | Centered at (4,1) |
| Smiley Face | Centered at (0,6) |
| Double Arrow | Columns 4, Rows 5–7 |
| Fish | Starting at (6,6), same size/orientation |
| House | Starting at (0,3), roof peak at (1,6) |
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✔ Important Tip: When translating, every point of the shape moves the same amount in the same direction. Just pick key corners or centers, move them, and redraw the shape exactly as it was — no stretching or turning!
You can now draw these translated shapes on your worksheet using the above instructions. Let me know if you want me to sketch them for you visually!
Parent Tip: Review the logic above to help your child master the concept of translations of shapes worksheet.