Reflection, Rotation, Translation worksheet with shapes demonstrating geometric transformations.
Worksheet showing examples of reflection, rotation, and translation with shapes and arrows indicating transformations.
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Step-by-step solution for: Reflection, Rotation, Translation | Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Reflection, Rotation, Translation | Worksheet
Let’s go through each shape pair one by one and figure out whether it’s a reflection, rotation, or translation.
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First pair (arrow-like shapes):
The first shape is pointing right, the second is pointing left — but also flipped vertically? Wait — actually, looking closely:
It looks like the shape was flipped over a vertical line. The “notch” on top moves from left side to right side. That’s a reflection.
Wait — let me double-check. If you flip it horizontally (left-right), the notch would move from left to right — yes. So this is a reflection.
But hold on — sometimes rotation can look similar. Let’s test: if I rotate 180°, the whole thing flips both ways. But here, only left-right seems flipped. Actually, no — in this case, the entire shape is mirrored across a vertical axis. So definitely reflection.
Actually — wait again! Look at the direction of the arrowhead. First shape points right, second points left — that could be reflection OR rotation. But notice the little “cutout” on the top edge: in the first shape, it’s on the left side of the top; in the second, it’s on the right side of the top. That means it’s been flipped left-to-right → reflection.
✔ First answer: Reflection
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Second pair (star shapes):
Both stars are identical in orientation. One is just moved to the right. No flipping, no turning — just sliding. That’s a translation.
✔ Second answer: Translation
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Third pair (H-shaped figures):
Left H has rounded ends facing up/down. Right H has rounded ends facing left/right? Wait — no, actually, both have same orientation? Wait — look carefully:
Left figure: two bumps on top and bottom.
Right figure: two bumps on left and right? No — actually, they’re rotated.
Wait — if you take the left H and turn it 90 degrees clockwise, the top bump becomes right bump, bottom becomes left — but that doesn’t match.
Actually — if you rotate 180°, then top goes to bottom, left goes to right — but since it’s symmetric, maybe not obvious.
Wait — better way: imagine putting a pin in the center and spinning it. If you spin 180°, the shape looks the same? Not quite — because the bumps are on specific sides.
Actually — look: the left shape has bumps on top and bottom. The right shape has bumps on left and right. So to get from left to right, you must have turned it 90° — either clockwise or counterclockwise.
Yes — so this is a rotation.
✔ Third answer: Rotation
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Fourth pair (stars on grid):
The star on the left is in the lower-left area of its grid. The star on the right is in the upper-right area — but same orientation. It hasn’t flipped or turned — just moved diagonally up and right. That’s still a translation — translation doesn’t have to be horizontal/vertical; any slide counts.
✔ Fourth answer: Translation
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Fifth pair (blob/cloud shapes):
These look almost identical — but one is flipped. Notice the “bump” on the left side of the first blob — in the second blob, that bump is on the right side. Also, the overall curve is mirrored. So this is a reflection — likely across a vertical line.
✔ Fifth answer: Reflection
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Sixth pair (pentagon with attached rectangle):
First shape: pentagon on left, small rectangle sticking down from bottom-right corner.
Second shape: pentagon on right, small rectangle sticking up from top-left corner? Wait — let’s visualize.
Actually — if you rotate the first shape 180°, the pentagon flips, and the rectangle that was sticking down now sticks up — and position changes accordingly. Yes — matches perfectly.
Alternatively, is it a reflection? If reflected over vertical line, the rectangle would stick down but on the other side — but in the second image, it’s sticking *up*. So not reflection.
If translated — no, orientation changed.
So must be rotation — specifically 180°.
✔ Sixth answer: Rotation
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Now let’s list them all:
1. Reflection
2. Translation
3. Rotation
4. Translation
5. Reflection
6. Rotation
Final Answer:
Reflection
Translation
Rotation
Translation
Reflection
Rotation
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First pair (arrow-like shapes):
The first shape is pointing right, the second is pointing left — but also flipped vertically? Wait — actually, looking closely:
It looks like the shape was flipped over a vertical line. The “notch” on top moves from left side to right side. That’s a reflection.
Wait — let me double-check. If you flip it horizontally (left-right), the notch would move from left to right — yes. So this is a reflection.
But hold on — sometimes rotation can look similar. Let’s test: if I rotate 180°, the whole thing flips both ways. But here, only left-right seems flipped. Actually, no — in this case, the entire shape is mirrored across a vertical axis. So definitely reflection.
Actually — wait again! Look at the direction of the arrowhead. First shape points right, second points left — that could be reflection OR rotation. But notice the little “cutout” on the top edge: in the first shape, it’s on the left side of the top; in the second, it’s on the right side of the top. That means it’s been flipped left-to-right → reflection.
✔ First answer: Reflection
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Second pair (star shapes):
Both stars are identical in orientation. One is just moved to the right. No flipping, no turning — just sliding. That’s a translation.
✔ Second answer: Translation
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Third pair (H-shaped figures):
Left H has rounded ends facing up/down. Right H has rounded ends facing left/right? Wait — no, actually, both have same orientation? Wait — look carefully:
Left figure: two bumps on top and bottom.
Right figure: two bumps on left and right? No — actually, they’re rotated.
Wait — if you take the left H and turn it 90 degrees clockwise, the top bump becomes right bump, bottom becomes left — but that doesn’t match.
Actually — if you rotate 180°, then top goes to bottom, left goes to right — but since it’s symmetric, maybe not obvious.
Wait — better way: imagine putting a pin in the center and spinning it. If you spin 180°, the shape looks the same? Not quite — because the bumps are on specific sides.
Actually — look: the left shape has bumps on top and bottom. The right shape has bumps on left and right. So to get from left to right, you must have turned it 90° — either clockwise or counterclockwise.
Yes — so this is a rotation.
✔ Third answer: Rotation
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Fourth pair (stars on grid):
The star on the left is in the lower-left area of its grid. The star on the right is in the upper-right area — but same orientation. It hasn’t flipped or turned — just moved diagonally up and right. That’s still a translation — translation doesn’t have to be horizontal/vertical; any slide counts.
✔ Fourth answer: Translation
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Fifth pair (blob/cloud shapes):
These look almost identical — but one is flipped. Notice the “bump” on the left side of the first blob — in the second blob, that bump is on the right side. Also, the overall curve is mirrored. So this is a reflection — likely across a vertical line.
✔ Fifth answer: Reflection
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Sixth pair (pentagon with attached rectangle):
First shape: pentagon on left, small rectangle sticking down from bottom-right corner.
Second shape: pentagon on right, small rectangle sticking up from top-left corner? Wait — let’s visualize.
Actually — if you rotate the first shape 180°, the pentagon flips, and the rectangle that was sticking down now sticks up — and position changes accordingly. Yes — matches perfectly.
Alternatively, is it a reflection? If reflected over vertical line, the rectangle would stick down but on the other side — but in the second image, it’s sticking *up*. So not reflection.
If translated — no, orientation changed.
So must be rotation — specifically 180°.
✔ Sixth answer: Rotation
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Now let’s list them all:
1. Reflection
2. Translation
3. Rotation
4. Translation
5. Reflection
6. Rotation
Final Answer:
Reflection
Translation
Rotation
Translation
Reflection
Rotation
Parent Tip: Review the logic above to help your child master the concept of reflections rotations and translations worksheet.