Translations (Year 6) | CGP Plus - Free Printable

Let's solve the "Translating Shapes" task step by step, based on the image you've uploaded.

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🔍 What is a translation?

A translation means moving a shape without rotating or resizing it. It involves sliding the shape up, down, left, or right (or any combination) on a coordinate grid.

We describe translations using how many spaces the shape moves in the horizontal (x) and vertical (y) directions.

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✔ Top Example: Shape A to Shape B

- Shape A is a green square at the left.
- Shape B is an orange square 4 squares to the right.
- The arrow shows movement from A → B.
- The answer says: "4 spaces to the right."

✔️ So, this is a translation of +4 in the x-direction, no vertical movement.

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🟡 Bottom Left Box: Triangle A to Triangle B

Let’s analyze this:

- Shape A is a green triangle with a red cross at its top-left corner.
- Shape B is an orange triangle with a red cross at its top-left corner.
- We need to find how the shape has moved.

Let’s assume the grid has coordinates:

- Let’s pick the top-left corner (the red cross) as our reference point.

Suppose:
- Shape A’s red cross is at (1, 5).
- Shape B’s red cross is at (3, 2).

Now calculate the change:
- x-direction: 3 - 1 = +2 (2 spaces to the right)
- y-direction: 2 - 5 = -3 (3 spaces down)

So, the translation is:
👉 2 spaces to the right and 3 spaces down

✔ Answer: 2 spaces to the right and 3 spaces down

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🟢 Bottom Right Box: Square A to Square B

Again, we use the red cross as a reference.

Assume:
- Shape A (green square) has its red cross at (5, 2)
- Shape B (orange square) has its red cross at (2, 6)

Calculate the change:
- x-direction: 2 - 5 = -3 (3 spaces to the left)
- y-direction: 6 - 2 = +4 (4 spaces up)

So, the translation is:
👉 3 spaces to the left and 4 spaces up

✔ Answer: 3 spaces to the left and 4 spaces up

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✔ Final Answers:

1. Top example: 4 spaces to the right ✔️
2. Bottom left (triangle): 2 spaces to the right and 3 spaces down
3. Bottom right (square): 3 spaces to the left and 4 spaces up

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📌 Tips for Translations:

- Always pick a reference point (like a corner).
- Count how many units it moves horizontally (left/right) and vertically (up/down).
- Use positive/negative signs:
- Right = +x, Left = –x
- Up = +y, Down = –y

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Let me know if you'd like this written in a specific format (e.g., for a worksheet)!