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

Let’s go through each problem one by one. Remember: Shape A is the original (gray) shape, and we need to describe how it moved to become the colored shape — using words like “right,” “left,” “up,” or “down” and how many squares.

We’ll count the grid squares carefully for each translation.

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Problem 1:
Shape A (gray rectangle) moves to the orange rectangle.
→ Count horizontal movement: From left edge of A to left edge of orange = 5 squares right.
→ No vertical change.
✔ Translation: 5 squares right

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Problem 2:
Shape A (gray tall rectangle) moves down to orange rectangle.
→ Vertical movement: From bottom of A to bottom of orange = 6 squares down.
→ No horizontal change.
✔ Translation: 6 squares down

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Problem 3:
Shape A (gray tall rectangle) moves to orange rectangle below it.
→ Vertical movement: From bottom of A to top of orange? Wait — let’s align same point.
Better: Pick a corner — say, bottom-left of A. It moves to bottom-left of orange.
That’s 4 squares down.
✔ Translation: 4 squares down

*(Wait — actually, looking again: The gray shape is above the orange. If you move the gray shape DOWN to match the orange, it’s 4 squares down. Yes.)*

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Problem 4:
Shape A (gray wide rectangle) moves to blue rectangle.
→ Horizontal: From left edge of A to left edge of blue = 5 squares right.
→ Vertical: From bottom of A to bottom of blue = 3 squares up.
✔ Translation: 5 squares right and 3 squares up

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Problem 5:
Shape A (gray diamond) moves to blue diamond.
→ Let’s pick center or a vertex. Say, top vertex of A → top vertex of blue.
Horizontal: 4 squares left.
Vertical: 2 squares up.
✔ Translation: 4 squares left and 2 squares up

*(Double-check: From A’s position, moving left 4 and up 2 lands exactly on blue. Correct.)*

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Problem 6:
Shape A (gray L-shape) moves to blue L-shape.
→ Pick bottom-left corner of A → bottom-left corner of blue.
Horizontal: 4 squares right.
Vertical: 3 squares down.
✔ Translation: 4 squares right and 3 squares down

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Problem 7:
Shape A (gray triangle at bottom) moves to green triangle at top.
→ Pick tip of triangle: from bottom tip of A to bottom tip of green.
Vertical: 8 squares up.
Horizontal: 3 squares left.
✔ Translation: 3 squares left and 8 squares up

*(Check: Moving A up 8 and left 3 matches green triangle. Yes.)*

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Problem 8:
Shape A (gray star) moves to green star.
→ Pick center or a point — say, top point of star.
From gray star’s top point to green star’s top point:
Horizontal: 4 squares right.
Vertical: 1 square down.
✔ Translation: 4 squares right and 1 square down

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Problem 9:
Shape A (gray quarter-circle) moves to green quarter-circle.
→ Pick the straight corner (the right angle).
From A’s corner to green’s corner:
Horizontal: 5 squares right.
Vertical: 5 squares down.
✔ Translation: 5 squares right and 5 squares down

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Now, let’s write all answers clearly.

Final Answer:
1) 5 squares right
2) 6 squares down
3) 4 squares down
4) 5 squares right and 3 squares up
5) 4 squares left and 2 squares up
6) 4 squares right and 3 squares down
7) 3 squares left and 8 squares up
8) 4 squares right and 1 square down
9) 5 squares right and 5 squares down