Transformation Geometry Worksheets 2nd Grade - Free Printable

Let’s go step by step through each row to figure out what transformation happened from the first shape to the second.

We are looking for one transformation that explains the change:
- enlarged = got bigger
- reduced = got smaller
- flipped = mirror image (like turning over)
- rotated = turned around a point (like spinning)

---

Row 1: Big square → small square
→ Same shape, just smaller.
✔ Correct word: reduced

---

Row 2: Triangle pointing up → triangle pointing down
→ It looks like it was flipped upside down. That’s a flip (reflection).
It could also be rotated 180°, but “flipped” is simpler and matches the visual.
✔ Correct word: flipped *(Note: “rotated” might also work if you rotate 180°, but since the problem says “just one transformation” and allows multiple correct answers, we’ll list both if applicable — but let’s check carefully. Actually, flipping vertically gives this result. Rotating 180° would also give same orientation? Wait — no! For an equilateral or isosceles triangle pointing up, rotating 180° makes it point down too. So actually BOTH “flipped” and “rotated” can be correct here. But let’s see what the worksheet expects. Since it says “more than one correct answer for some”, we should consider all valid ones. However, in many elementary contexts, they treat “flip” as reflection over horizontal axis, and “rotate” as turning around center. Both produce same result here. So technically both are correct. But let’s hold off and do all rows first.)*

Actually, let’s be precise:

For Row 2:
Original: triangle with base at bottom, point at top.
New: triangle with base at top, point at bottom.
This can be achieved by:
- Flipping over a horizontal line (vertical flip) → “flipped”
- OR rotating 180 degrees around its center → “rotated”

So yes, both “flipped” and “rotated” are correct.

But wait — does the worksheet allow circling more than one per row? The instruction says: “Circle the correct word...” and “There is more than one correct answer for some of the transformations.” So yes, we can have multiple per row.

However, let’s continue and then decide based on clarity for a 2nd grader. Maybe the intended answer is “flipped” because it’s more intuitive visually. But logically, both work.

I think for accuracy, I’ll note where multiple apply.

But let’s finish all rows first.

---

Row 3: Right triangle (right angle at bottom left) → right triangle (right angle at bottom right)
→ This looks like it was flipped horizontally (mirror image left-right).
Could it be rotated? If you rotate 90° or 180°, the right angle moves differently. Let’s test:

Original: legs along bottom and left side.
After flip over vertical line: legs along bottom and right side → matches.

If you rotate 90° clockwise: right angle goes to top right → doesn’t match.
Rotate 180°: right angle goes to top right → no.
So only flipped works here.

✔ Correct word: flipped

---

Row 4: Small trapezoid → big trapezoid
→ Same shape, bigger size.
✔ Correct word: enlarged

---

Row 5: Rectangle → rectangle tilted (diamond-like)
→ It’s been turned. Not flipped (because flipping wouldn’t tilt it like that unless combined with something else).
Rotating around center by about 30–45 degrees gives this.
Not enlarged/reduced — same size.
Not flipped — because flipping would make it mirror image, but here it’s just rotated.

Wait — is it possible it’s flipped? No, because if you flip a rectangle over a diagonal, it becomes a different orientation, but usually not this clean rotation. Also, the sides are still parallel — so it’s a pure rotation.

✔ Correct word: rotated

---

Row 6: Trapezoid leaning left → trapezoid leaning right
→ Looks like mirror image across vertical line.
Flipping left-right would turn a left-leaning trapezoid into a right-leaning one.
Rotation? If you rotate 180°, it would be upside down and leaning opposite way — but here it’s not upside down, just mirrored.

Example: imagine a book leaning left — flip it over front-to-back (vertical flip) — now it leans right. Yes.

So ✔ flipped

(Alternatively, if you rotate 180° around center, it would also lean right but be upside down — which it’s not. So only flip works.)

Wait — actually, if you rotate 180°, the top becomes bottom, so if original had longer base at bottom, after 180° rotation, longer base is at top — which is NOT the case here. In the image, both trapezoids have longer base at bottom. So rotation 180° would invert it vertically — which didn’t happen. So definitely not rotated. Only flipped horizontally.

✔ Correct word: flipped

---

Row 7: Shape like a house with flat roof on left → same shape but standing upright (roof on top?) Wait — let’s describe:

First shape: rectangle with a slanted cut on the top-right corner (so it’s like a pentagon with one slanted side on top right).

Second shape: same pentagon, but now the slanted side is on the bottom-right? Or is it rotated?

Actually, looking closely:
First shape: has a vertical left side, horizontal bottom, vertical right side going halfway up, then slants inward to meet top-left corner? Hmm.

Better way: Imagine the first shape is a rectangle with the top-right corner cut off diagonally.

The second shape is the same, but now the cut-off part is on the bottom-right? Or is it rotated?

Actually, if you take the first shape and rotate it 90 degrees clockwise, the cut-off corner moves from top-right to bottom-right — which matches the second shape.

Yes! So it’s been rotated.

Check:
Original: long side on bottom, short slant on top-right.
After 90° CW rotation: long side on right, slant on bottom-right → matches second image.

Also, not flipped — because flipping would mirror it, not move the slant to adjacent side.

So ✔ rotated

---

Now back to Row 2: Triangle up → triangle down.

As discussed, both “flipped” (over horizontal axis) and “rotated” (180°) produce the same result.

In 2nd grade math, they often accept either, but sometimes prefer “flipped” for vertical inversion.

Since the instructions say “there is more than one correct answer for some”, and this is one such case, I will include both.

But let’s confirm with standard curriculum: In many US 2nd grade materials, when a shape is inverted top-to-bottom, they call it a “flip” (reflection), and rotation is reserved for turning without mirroring.

However, mathematically, 180° rotation is equivalent to two reflections, but produces same orientation as a single reflection only if the shape has symmetry — which a triangle may not.

Wait — for an isosceles triangle pointing up, reflecting over horizontal axis gives pointing down. Rotating 180° also gives pointing down. And since the triangle is symmetric left-right, both operations yield identical results.

So for this specific shape, both transformations look the same.

Therefore, both “flipped” and “rotated” are correct for Row 2.

Similarly, for other rows, only one applies.

Let me summarize:

Row 1: reduced
Row 2: flipped, rotated
Row 3: flipped
Row 4: enlarged
Row 5: rotated
Row 6: flipped
Row 7: rotated

But wait — Row 6: trapezoid leaning left → leaning right. Is there any chance it’s rotated? As before, no — because rotation would invert top/bottom, which isn’t happening. So only flipped.

Row 3: right triangle — only flipped works.

Row 5: rectangle tilted — only rotated.

Row 7: pentagon — only rotated.

Now, for Row 2, since both are mathematically valid and the worksheet allows multiple answers, I’ll include both.

But let’s double-check Row 2 with actual geometry:

Suppose triangle vertices: A(top), B(bottom-left), C(bottom-right)

After flip over horizontal midline: A goes to bottom, B and C swap positions? No — flip over horizontal line through centroid: A maps to a point below, B and C map to points above? Actually, better to think:

Flip over x-axis (horizontal): y-coordinates negate. So if A was at (0,1), B(-1,-1), C(1,-1), after flip: A'(0,-1), B'(-1,1), C'(1,1) — so now the base is at top, point at bottom — same as rotated 180°?

Rotated 180° around origin: (x,y) -> (-x,-y)

A(0,1) -> (0,-1)
B(-1,-1) -> (1,1)
C(1,-1) -> (-1,1)

Same as flip! Because for this symmetric triangle, reflection over horizontal axis and 180° rotation produce same vertex positions.

So yes, indistinguishable. Thus, both terms are correct.

Therefore, final answers per row:

1. reduced
2. flipped, rotated
3. flipped
4. enlarged
5. rotated
6. flipped
7. rotated

But the worksheet says “circle the correct word” — implying possibly multiple per row.

So in the answer, I should list all correct words for each row.

Now, for the Final Answer section, I need to present it clearly.

Since it's a worksheet with 7 rows, I'll list them in order.

Final Answer:
Row 1: reduced
Row 2: flipped, rotated
Row 3: flipped
Row 4: enlarged
Row 5: rotated
Row 6: flipped
Row 7: rotated

But to match the format, perhaps write as:

1. reduced
2. flipped, rotated
3. flipped
4. enlarged
5. rotated
6. flipped
7. rotated

Yes.

I think that’s accurate.

One last check on Row 7: Is it possible it’s flipped? Suppose we flip over a diagonal — but that would distort or not match. Rotation is cleaner and matches perfectly. So rotated is correct.

All good.

Final Answer:
1. reduced
2. flipped, rotated
3. flipped
4. enlarged
5. rotated
6. flipped
7. rotated