Printable Symmetry Worksheet With 2D Shapes - Free Printable

Let’s go through each shape one by one and check if the dotted line is a line of symmetry.

A line of symmetry means that if you fold the shape along that line, both sides match perfectly — like a mirror image.

---

Row 1:

1. Square with vertical dotted line down the middle
→ If you fold left to right, both halves match. ✔ Yes

2. Hexagon (6-sided) with vertical dotted line
→ The hexagon is regular, and the line goes straight down the center. Both sides match. ✔ Yes

3. Diamond (rhombus) with vertical dotted line
→ It’s tilted, but the line splits it evenly top to bottom? Wait — actually, this diamond is rotated so its points are up/down/left/right. The vertical line cuts it into two matching halves. ✔ Yes

Wait — let me double-check #3. The diamond has vertices at top, bottom, left, right. A vertical line through the center will split it into left and right mirror images. Yes, it works. ✔ Yes

---

Row 2:

4. Flower-like shape with 4 petals, vertical dotted line
→ Left side matches right side exactly. ✔ Yes

5. Teardrop shape pointing down, vertical dotted line
→ The teardrop is symmetric left-to-right. Folding along the vertical line makes both sides match. ✔ Yes

6. Star with diagonal dotted line from top-left to bottom-right
→ Let’s imagine folding along that diagonal. Does one half match the other? For a regular 5-pointed star, a diagonal line like this usually does NOT create symmetry unless it goes through a point and the opposite valley. In this case, the line goes from a point to the opposite side — not through another point. So when folded, the arms won’t match. ✘ No

Actually, let’s think again: A regular pentagram (5-pointed star) has 5 lines of symmetry — each going from a point to the midpoint of the opposite side. But in this drawing, the dotted line appears to go from one point to the *opposite point*? Wait — no, in a 5-pointed star, there is no “opposite point” directly across — because 5 is odd. So any line from a point must go to the middle of the opposite edge.

Looking at the image description: the star has a diagonal line from top-left to bottom-right. That likely connects two non-opposite parts. Actually, for a standard 5-pointed star drawn with one point up, a diagonal line from top-left to bottom-right would NOT be a line of symmetry — because the star isn’t symmetric along that diagonal. Only lines from a point to the center of the opposite side are symmetries.

So — ✘ No

---

Row 3:

7. Shape like a lightbulb or vase, vertical dotted line
→ Left and right sides look identical. Fold along the line — they match. ✔ Yes

8. Octagon (8-sided) with diagonal dotted line from top-left to bottom-right
→ Is this a line of symmetry? For a regular octagon, yes — diagonals that connect opposite vertices ARE lines of symmetry. This line seems to go from one corner to the opposite corner. So yes, it should work. ✔ Yes

Wait — let’s confirm: A regular octagon has 8 lines of symmetry — 4 through opposite vertices, and 4 through midpoints of opposite sides. So if the line connects two opposite corners, then YES — it’s a line of symmetry. ✔ Yes

9. Arrow pointing right, horizontal dotted line through the middle
→ If we fold top to bottom along the horizontal line, does the top half match the bottom half? The arrowhead is on the right — the top and bottom of the arrow shaft and head should be mirror images. Yes — assuming it’s drawn symmetrically. ✔ Yes

But wait — sometimes arrows are drawn with flat bottoms or asymmetric heads. However, in typical school worksheets, this arrow is meant to be symmetric horizontally. So ✔ Yes

---

Now let’s list all answers in order:

Row 1:
1. Square → Yes
2. Hexagon → Yes
3. Diamond → Yes

Row 2:
4. Flower → Yes
5. Teardrop → Yes
6. Star → No

Row 3:
7. Vase → Yes
8. Octagon → Yes
9. Arrow → Yes

Final Answer:
Yes, Yes, Yes, Yes, Yes, No, Yes, Yes, Yes