Translations - from Words | PDF printable Geometry Worksheets - Free Printable

Let's solve each problem in Section A of the worksheet titled *"Translations - In Words"*. The goal is to describe how Shape A (the original object) has been translated (moved) to reach the new position, using words like "left", "right", "up", or "down", and counting the number of grid squares moved.

We'll analyze each one step by step.

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1)

- Shape A is a gray rectangle.
- The orange rectangle is 4 units to the right of Shape A.
- No vertical movement.

✔ Answer: *Translated 4 units to the right.*

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2)

- Gray shape A is above the orange shape.
- Counting down: from top of A to top of orange = 6 squares down.
- Same horizontal position.

✔ Answer: *Translated 6 units down.*

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3)

- Shape A is above and slightly to the left of the orange shape.
- Move down: from bottom of A to top of orange = 4 squares down.
- Move right: from left side of A to left side of orange = 2 squares right.

✔ Answer: *Translated 2 units to the right and 4 units down.*

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4)

- Shape A is a gray rectangle on the left.
- Blue rectangle is to the right.
- Horizontal distance: count squares from left edge of A to left edge of blue = 7 units right.
- Vertical: same level → no up/down.

✔ Answer: *Translated 7 units to the right.*

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5)

- Shape A is a gray diamond on the right.
- Blue diamond is to the left and slightly higher.
- Count horizontally: from A to blue = 4 units to the left.
- Vertically: blue is 2 units higher than A → 2 units up.

✔ Answer: *Translated 4 units to the left and 2 units up.*

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6)

- Shape A is an L-shaped gray figure.
- Blue shape is below and to the right.
- From A to blue:
- Right: 3 units
- Down: 3 units

✔ Answer: *Translated 3 units to the right and 3 units down.*

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7)

- Shape A is a gray triangle at the bottom right.
- Green triangle is above and to the left.
- From A to green:
- Left: 6 units
- Up: 8 units

✔ Answer: *Translated 6 units to the left and 8 units up.*

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8)

- Shape A is a gray star overlapping with a green star.
- Green star is shifted slightly to the right and down.
- From center of A to center of green:
- Right: 2 units
- Down: 1 unit

✔ Answer: *Translated 2 units to the right and 1 unit down.*

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9)

- Shape A is a gray curved shape (like a quarter-circle).
- Green shape is below and to the right.
- From A to green:
- Right: 5 units
- Down: 4 units

✔ Answer: *Translated 5 units to the right and 4 units down.*

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✔ Final Answers:

1) Translated 4 units to the right.
2) Translated 6 units down.
3) Translated 2 units to the right and 4 units down.
4) Translated 7 units to the right.
5) Translated 4 units to the left and 2 units up.
6) Translated 3 units to the right and 3 units down.
7) Translated 6 units to the left and 8 units up.
8) Translated 2 units to the right and 1 unit down.
9) Translated 5 units to the right and 4 units down.

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🔍 Explanation:

A translation is a slide — the shape moves without rotating or changing size. To describe it:
- Pick a key point (e.g., corner or center).
- Count how many squares it moves horizontally (left/right) and vertically (up/down).
- Use directional language: "translated X units to the [direction]".

This helps students understand geometric transformations in real-world terms. 🌟