Practice identifying translations, reflections, and rotations with this geometry worksheet.

Let’s go through each pair of figures and figure out how the first shape moved to become the second.

We’ll use:
- Translation = sliding (no turning or flipping)
- Reflection = flipping over a line (like a mirror image)
- Rotation = turning around a point

---

a.
First figure: L-shape with dot on bottom right.
Second figure: Same L-shape, but flipped — now it looks like a mirror image. The dot is still in the same relative position, but the whole shape is mirrored.
→ This is a reflection.

b.
First figure: Square with dot on top right.
Second figure: Same square, but rotated — now the dot is on bottom left. It looks like it was turned 180 degrees.
→ This is a rotation.

c.
First figure: L-shape with dot on bottom right.
Second figure: Same L-shape, but flipped horizontally — now it’s facing the other way. Dot is still on the “bottom” part, but the shape is mirrored.
→ This is a reflection.

d.
First figure: Vertical bar with dot on bottom right.
Second figure: Same vertical bar, but now the dot is on the top left — and the whole thing is flipped. Looks like a mirror image across a diagonal or vertical axis? Actually, if you flip it left-right, the dot goes from bottom right to bottom left — but here it’s top left. Hmm. Wait — actually, if you rotate it 180°, the dot would go from bottom right to top left. Let’s check: original has dot at bottom right of the vertical bar. After movement, dot is at top left of vertical bar. That’s consistent with a 180° rotation.
→ This is a rotation.

Wait — let me double-check d.
Original: vertical column of 3 squares, dot in bottom-right square.
After: vertical column of 3 squares, dot in top-left square.
If you rotate 180°, bottom-right becomes top-left. Yes. So rotation.

But wait — could it be reflection? If you reflect over horizontal axis, bottom-right becomes top-right. Not matching. If you reflect over vertical axis, bottom-right becomes bottom-left. Not matching. Only rotation gives top-left. So yes — rotation.

e.
First figure: L-shape with dot on bottom left.
Second figure: Same L-shape, but now the dot is on top right — and the shape is turned. Looks like it was rotated 180°.
→ This is a rotation.

f.
First figure: L-shape with dot on bottom right.
Second figure: Same L-shape, but now it’s flipped — the long part is on the right instead of left. Dot is still on the “corner”, but the shape is mirrored.
→ This is a reflection.

g.
First figure: L-shape with dot on bottom left.
Second figure: Same L-shape, but now it’s flipped — the long part is on the right. Dot is now on bottom right? Wait — original: L pointing down-right, dot on bottom-left square. After: L pointing down-left, dot on bottom-right square. That’s a mirror image.
→ This is a reflection.

h.
First figure: L-shape with dot on top right.
Second figure: Same L-shape, but now the dot is on bottom left — and the shape is turned. Looks like 180° rotation.
→ This is a rotation.

i.
First figure: L-shape with dot on bottom right.
Second figure: Same L-shape, but now it’s flipped — the long part is on the right, and the dot is on top left? Wait — original: L pointing down-right, dot on bottom-right. After: L pointing up-right, dot on top-left. That’s not a simple flip. Actually, if you rotate 90° clockwise, bottom-right becomes top-right. Not matching. Rotate 180°: bottom-right becomes top-left. Yes! And the shape turns accordingly.
→ This is a rotation.

Wait — let’s visualize:
Original:
□
□□ (dot on right square)

After:
□□ (dot on left square)
□

That’s actually a 180° rotation. Yes.

j.
First figure: 2x2 square with dot on bottom left.
Second figure: Same 2x2 square, but now the dot is on bottom right — and the whole thing is flipped left-right.
→ This is a reflection.

k.
First figure: L-shape with dot on bottom left.
Second figure: Same L-shape, but now it’s flipped — the long part is on the right, and the dot is on bottom right? Wait — original: L pointing down-right, dot on bottom-left. After: L pointing down-left, dot on bottom-right. That’s a mirror image.
→ This is a reflection.

l.
First figure: Vertical bar with dot on bottom left.
Second figure: Same vertical bar, but now the dot is on top right — and the shape is turned. Looks like 180° rotation. Bottom-left becomes top-right.
→ This is a rotation.

---

Now let’s list them clearly:

a. Reflection
b. Rotation
c. Reflection
d. Rotation
e. Rotation
f. Reflection
g. Reflection
h. Rotation
i. Rotation
j. Reflection
k. Reflection
l. Rotation

Double-checking a few tricky ones:

- d: Vertical bar, dot bottom-right → after: vertical bar, dot top-left → only 180° rotation does that → correct.
- i: Original L with dot on bottom-right → after: L with dot on top-left → again, 180° rotation → correct.
- l: Vertical bar, dot bottom-left → after: vertical bar, dot top-right → 180° rotation → correct.

All seem consistent.

Final Answer:
a. Reflection
b. Rotation
c. Reflection
d. Rotation
e. Rotation
f. Reflection
g. Reflection
h. Rotation
i. Rotation
j. Reflection
k. Reflection
l. Rotation