Practice identifying translation, rotation, and reflection in geometric figures.
Worksheet with geometric shapes demonstrating translation, rotation, and reflection transformations.
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Show Answer Key & Explanations
Step-by-step solution for: Reflection, Translation, and Rotation Worksheets | Math problem ...
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Show Answer Key & Explanations
Step-by-step solution for: Reflection, Translation, and Rotation Worksheets | Math problem ...
Let’s go through each pair of figures and figure out what transformation happened — translation, rotation, or reflection.
Remember:
- Translation = slide (same orientation, just moved)
- Rotation = turn (spun around a point)
- Reflection = flip (mirror image)
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1. Top left pair:
Left figure → Right figure
The right figure is flipped horizontally compared to the left. The “arms” that were pointing up are now pointing down on the opposite side. This is a reflection.
2. Top middle pair:
Left → Right
The shape has been turned. It looks like it was rotated 90° clockwise. The black dot moved from bottom-left to top-right relative to the shape’s center. This is a rotation.
3. Top right pair:
Left → Right
The right figure is a mirror image of the left — flipped over a vertical line. The “steps” go the other way. This is a reflection.
4. Second row, left:
Left → Right
The right figure is upside-down compared to the left. That’s a 180° rotation. Also, the black dot moved accordingly. This is a rotation.
5. Second row, middle:
Left → Right
This one is tricky. The shape looks like it’s been flipped both horizontally and vertically — but actually, if you rotate it 180°, it matches. Wait — no, let’s check: the black dot was at bottom center, now it’s at top center. The arms point opposite directions. Actually, this is a rotation (180°).
Wait — let me double-check #5.
Original: L-shape with dot at bottom center.
After: Same L-shape but upside down, dot at top center. Yes — that’s a 180° rotation. So rotation.
6. Second row, right:
Left → Right
The right figure is a mirror image — flipped horizontally. The “staircase” goes the other way. This is a reflection.
7. Third row, left:
Left → Right
The right figure is slid to the right and down — same orientation. No turning or flipping. This is a translation.
8. Third row, middle:
Left → Right
The shape is flipped — the black dot was on the bottom arm, now it’s on the top arm, and the whole thing is mirrored. This is a reflection.
9. Bottom row, left:
Left → Right
The right figure is rotated — specifically, 90° clockwise. The long part that was vertical is now horizontal. This is a rotation.
10. Bottom row, right:
Left → Right
The right figure is a mirror image — flipped vertically. The “steps” are reversed. This is a reflection.
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Now let’s list them clearly:
1. Reflection
2. Rotation
3. Reflection
4. Rotation
5. Rotation
6. Reflection
7. Translation
8. Reflection
9. Rotation
10. Reflection
Double-checking #5 again — yes, rotating the original 180° gives the second figure. Correct.
All done!
Final Answer:
1. Reflection
2. Rotation
3. Reflection
4. Rotation
5. Rotation
6. Reflection
7. Translation
8. Reflection
9. Rotation
10. Reflection
Remember:
- Translation = slide (same orientation, just moved)
- Rotation = turn (spun around a point)
- Reflection = flip (mirror image)
---
1. Top left pair:
Left figure → Right figure
The right figure is flipped horizontally compared to the left. The “arms” that were pointing up are now pointing down on the opposite side. This is a reflection.
2. Top middle pair:
Left → Right
The shape has been turned. It looks like it was rotated 90° clockwise. The black dot moved from bottom-left to top-right relative to the shape’s center. This is a rotation.
3. Top right pair:
Left → Right
The right figure is a mirror image of the left — flipped over a vertical line. The “steps” go the other way. This is a reflection.
4. Second row, left:
Left → Right
The right figure is upside-down compared to the left. That’s a 180° rotation. Also, the black dot moved accordingly. This is a rotation.
5. Second row, middle:
Left → Right
This one is tricky. The shape looks like it’s been flipped both horizontally and vertically — but actually, if you rotate it 180°, it matches. Wait — no, let’s check: the black dot was at bottom center, now it’s at top center. The arms point opposite directions. Actually, this is a rotation (180°).
Wait — let me double-check #5.
Original: L-shape with dot at bottom center.
After: Same L-shape but upside down, dot at top center. Yes — that’s a 180° rotation. So rotation.
6. Second row, right:
Left → Right
The right figure is a mirror image — flipped horizontally. The “staircase” goes the other way. This is a reflection.
7. Third row, left:
Left → Right
The right figure is slid to the right and down — same orientation. No turning or flipping. This is a translation.
8. Third row, middle:
Left → Right
The shape is flipped — the black dot was on the bottom arm, now it’s on the top arm, and the whole thing is mirrored. This is a reflection.
9. Bottom row, left:
Left → Right
The right figure is rotated — specifically, 90° clockwise. The long part that was vertical is now horizontal. This is a rotation.
10. Bottom row, right:
Left → Right
The right figure is a mirror image — flipped vertically. The “steps” are reversed. This is a reflection.
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Now let’s list them clearly:
1. Reflection
2. Rotation
3. Reflection
4. Rotation
5. Rotation
6. Reflection
7. Translation
8. Reflection
9. Rotation
10. Reflection
Double-checking #5 again — yes, rotating the original 180° gives the second figure. Correct.
All done!
Final Answer:
1. Reflection
2. Rotation
3. Reflection
4. Rotation
5. Rotation
6. Reflection
7. Translation
8. Reflection
9. Rotation
10. Reflection
Parent Tip: Review the logic above to help your child master the concept of reflections rotations and translations worksheet.