Translations worksheet (transformation of shapes) - Free Printable
Educational worksheet: Translations worksheet (transformation of shapes). Download and print for classroom or home learning activities.
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Step-by-step solution for: Translations worksheet (transformation of shapes)
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Show Answer Key & Explanations
Step-by-step solution for: Translations worksheet (transformation of shapes)
Let’s go through each row one by one to figure out how the first shape changed into the second shape — using only one transformation.
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Row 1: Square → Smaller Square
The second square is smaller than the first. That means it got reduced.
(Enlarged would mean bigger — not this. Flipped or rotated wouldn’t change size.)
✔ Correct answer: reduced
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Row 2: Triangle pointing up → Triangle pointing down
This triangle was turned upside down. That can happen in two ways:
- It could be flipped (like a mirror image over a horizontal line)
- Or it could be rotated 180 degrees
Both are valid single transformations.
✔ Correct answers: flipped, rotated
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Row 3: Right triangle with right angle on bottom left → Right triangle with right angle on bottom right
This looks like a mirror image — if you flip it left-to-right, it matches.
It’s also possible to rotate it, but let’s check: rotating 90° or 180° won’t give this exact orientation unless combined with flip. Actually, flipping horizontally works perfectly.
Wait — actually, if you rotate it 180°, the right angle moves from bottom-left to top-right — that’s not matching. So rotation alone doesn’t work here.
But if you flip it over a vertical line (left-right flip), then yes — the right angle goes from bottom-left to bottom-right. Perfect.
So only flipped works as a single transformation.
✔ Correct answer: flipped
*(Note: Some might argue rotation + translation, but we’re limited to ONE transformation. Flip is correct.)*
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Row 4: Small trapezoid → Larger trapezoid
Same shape, just bigger. That’s enlarged.
✔ Correct answer: enlarged
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Row 5: Rectangle → Tilted rectangle
The rectangle is now slanted — it’s been turned. That’s rotated.
Size didn’t change, so not enlarged/reduced. Not flipped — because flipping would mirror it, not tilt it.
✔ Correct answer: rotated
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Row 6: Trapezoid with slanted top-left → Same trapezoid but flipped left-right
Look closely: the slanted side was on the left before, now it’s on the right. That’s a flip (mirror image).
Could it be rotated? If you rotate 180°, the slant would go to the opposite corner — not matching. So only flipped works.
✔ Correct answer: flipped
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Row 7: Pentagon-like shape (with cut corner on top right) → Same shape but cut corner on bottom right
This looks like it’s been turned sideways — specifically, rotated 90° clockwise or counterclockwise.
Check: Original has cut corner at top-right. After rotation 90° clockwise, cut corner would be at bottom-right — matches!
Flipping wouldn’t do that — flipping would mirror it, not turn it.
✔ Correct answer: rotated
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Final Answers per row:
1. reduced
2. flipped, rotated
3. flipped
4. enlarged
5. rotated
6. flipped
7. rotated
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Final Answer:
reduced; flipped, rotated; flipped; enlarged; rotated; flipped; rotated
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Row 1: Square → Smaller Square
The second square is smaller than the first. That means it got reduced.
(Enlarged would mean bigger — not this. Flipped or rotated wouldn’t change size.)
✔ Correct answer: reduced
---
Row 2: Triangle pointing up → Triangle pointing down
This triangle was turned upside down. That can happen in two ways:
- It could be flipped (like a mirror image over a horizontal line)
- Or it could be rotated 180 degrees
Both are valid single transformations.
✔ Correct answers: flipped, rotated
---
Row 3: Right triangle with right angle on bottom left → Right triangle with right angle on bottom right
This looks like a mirror image — if you flip it left-to-right, it matches.
It’s also possible to rotate it, but let’s check: rotating 90° or 180° won’t give this exact orientation unless combined with flip. Actually, flipping horizontally works perfectly.
Wait — actually, if you rotate it 180°, the right angle moves from bottom-left to top-right — that’s not matching. So rotation alone doesn’t work here.
But if you flip it over a vertical line (left-right flip), then yes — the right angle goes from bottom-left to bottom-right. Perfect.
So only flipped works as a single transformation.
✔ Correct answer: flipped
*(Note: Some might argue rotation + translation, but we’re limited to ONE transformation. Flip is correct.)*
---
Row 4: Small trapezoid → Larger trapezoid
Same shape, just bigger. That’s enlarged.
✔ Correct answer: enlarged
---
Row 5: Rectangle → Tilted rectangle
The rectangle is now slanted — it’s been turned. That’s rotated.
Size didn’t change, so not enlarged/reduced. Not flipped — because flipping would mirror it, not tilt it.
✔ Correct answer: rotated
---
Row 6: Trapezoid with slanted top-left → Same trapezoid but flipped left-right
Look closely: the slanted side was on the left before, now it’s on the right. That’s a flip (mirror image).
Could it be rotated? If you rotate 180°, the slant would go to the opposite corner — not matching. So only flipped works.
✔ Correct answer: flipped
---
Row 7: Pentagon-like shape (with cut corner on top right) → Same shape but cut corner on bottom right
This looks like it’s been turned sideways — specifically, rotated 90° clockwise or counterclockwise.
Check: Original has cut corner at top-right. After rotation 90° clockwise, cut corner would be at bottom-right — matches!
Flipping wouldn’t do that — flipping would mirror it, not turn it.
✔ Correct answer: rotated
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Final Answers per row:
1. reduced
2. flipped, rotated
3. flipped
4. enlarged
5. rotated
6. flipped
7. rotated
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Final Answer:
reduced; flipped, rotated; flipped; enlarged; rotated; flipped; rotated
Parent Tip: Review the logic above to help your child master the concept of translation geometry worksheets.