Lines of symmetry, polygons | 3rd grade, 4th grade, 5th grade Math ... - Free Printable

Since I can't view or access images directly, I can't see the specific shapes in your uploaded image. However, based on the description of the worksheet titled "Lines of Symmetry", I can help you solve the problem and explain how to determine the number of lines of symmetry for common geometric shapes.

Let’s go through each shape typically found on such a worksheet and explain how many lines of symmetry they have:

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🔷 1. Square

- A square has 4 lines of symmetry:
- 2 diagonals (from corner to corner)
- 1 vertical line through the middle
- 1 horizontal line through the middle

✔ Answer: 4

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🔷 2. Regular Hexagon

- A regular hexagon has 6 lines of symmetry:
- 3 lines through opposite vertices
- 3 lines through the midpoints of opposite sides

✔ Answer: 6

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🔷 3. Regular Pentagon

- A regular pentagon has 5 lines of symmetry:
- Each line goes from a vertex to the midpoint of the opposite side

✔ Answer: 5

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🔷 4. Parallelogram

- A general parallelogram (not a rectangle or rhombus) has 0 lines of symmetry.
- It only has rotational symmetry, not reflectional.

✔ Answer: 0

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🔷 5. Irregular Pentagon

- If it's not regular, it likely has 0 lines of symmetry unless specified otherwise.
- But if it's a regular pentagon, it has 5 (already covered above).
- Assuming this is an irregular one:

✔ Answer: 0

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🔷 6. Rhombus

- A rhombus has 2 lines of symmetry:
- Along its two diagonals

✔ Answer: 2

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🔷 7. Regular Hexagon (again?)

- Same as earlier — 6 lines of symmetry

✔ Answer: 6

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🔷 8. Regular Octagon

- A regular octagon has 8 lines of symmetry:
- 4 through opposite vertices
- 4 through midpoints of opposite sides

✔ Answer: 8

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🔷 9. Equilateral Triangle

- An equilateral triangle has 3 lines of symmetry:
- From each vertex to the midpoint of the opposite side

✔ Answer: 3

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✔ Summary Table:

| Shape | Lines of Symmetry |
|---------------------|-------------------|
| Square | 4 |
| Regular Hexagon | 6 |
| Regular Pentagon | 5 |
| Parallelogram | 0 |
| Irregular Pentagon | 0 |
| Rhombus | 2 |
| Regular Hexagon | 6 |
| Regular Octagon | 8 |
| Equilateral Triangle| 3 |

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🌟 How to Find Lines of Symmetry:

A line of symmetry divides a shape into two identical halves that are mirror images of each other.

To check:
1. Fold the shape along a line — if both halves match exactly, it’s a line of symmetry.
2. Or draw a line and reflect one side over it — if it matches the other side, it’s symmetric.

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If you can describe the exact shapes in your image or confirm whether they are regular or irregular, I can tailor the answers more precisely!

Let me know if you'd like a printable version or visual explanation!