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Grade 4 Geometry worksheet on identifying lines of symmetry in different shapes.

Worksheet titled "Lines of Symmetry" featuring various shapes including a star, heart, lightning bolt, square, arrow, rectangle, curved arrow, and smiley face, with instructions to draw lines of symmetry or mark with an X if none exist.

Worksheet titled "Lines of Symmetry" featuring various shapes including a star, heart, lightning bolt, square, arrow, rectangle, curved arrow, and smiley face, with instructions to draw lines of symmetry or mark with an X if none exist.

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Show Answer Key & Explanations Step-by-step solution for: Lines of Symmetry Worksheets | Worsheets library
Let's solve the "Lines of Symmetry" worksheet step by step.

We are asked to:
- Draw lines of symmetry for each shape if it has any.
- If a shape has no lines of symmetry, draw an X through it.

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🔍 Step-by-step analysis of each shape:



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#### 1. Star (5-pointed star)
- This is a regular five-pointed star.
- It has 5 lines of symmetry — one from each point to the center.
- Draw 5 lines (each passing through a tip and the center).

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#### 2. Heart
- A typical heart shape has one vertical line of symmetry down the middle.
- The left and right sides are mirror images.
- Draw 1 vertical line through the center.

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#### 3. Lightning bolt
- This shape is asymmetrical — the jagged edges don’t match on either side.
- No line of symmetry.
- ➤ Draw an X through it.

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#### 4. Orange trapezoid (looks like a rectangle with one corner cut off)
- This is a right trapezoid (not symmetrical).
- The top and bottom are not equal, and the sides are uneven.
- No line of symmetry.
- ➤ Draw an X through it.

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#### 5. Yellow square
- A square has 4 lines of symmetry:
- 2 diagonals
- 1 vertical
- 1 horizontal
- Draw 4 lines: vertical, horizontal, and both diagonals.

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#### 6. Green downward arrow
- This is a simple arrow pointing down.
- It has 1 vertical line of symmetry through the center.
- Left and right sides are mirror images.
- Draw 1 vertical line through the center.

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#### 7. Purple rectangle
- A rectangle has 2 lines of symmetry:
- One vertical (through the middle)
- One horizontal (through the middle)
- Draw 2 lines (vertical and horizontal).

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#### 8. Brown curved arrow (U-turn style)
- This is a curved arrow that turns back on itself.
- It is asymmetrical — no reflection will match.
- No line of symmetry.
- ➤ Draw an X through it.

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#### 9. Smiley face
- The smiley has:
- Two eyes (symmetrically placed)
- A curved smile
- A circular face
- It has 1 vertical line of symmetry down the middle.
- Draw 1 vertical line through the center.

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Final Answers Summary:



| Shape | Lines of Symmetry | Action |
|------|-------------------|--------|
| Star | 5 | Draw 5 lines |
| Heart | 1 (vertical) | Draw 1 vertical line |
| Lightning bolt | None | Draw X |
| Trapezoid | None | Draw X |
| Square | 4 | Draw 4 lines (2 diagonals, vertical, horizontal) |
| Arrow | 1 (vertical) | Draw 1 vertical line |
| Rectangle | 2 | Draw 2 lines (vertical and horizontal) |
| Curved arrow | None | Draw X |
| Smiley face | 1 (vertical) | Draw 1 vertical line |

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📝 Instructions for Drawing:


- Use a ruler to draw straight lines.
- For shapes with symmetry, draw the lines through the center where the two halves match.
- For asymmetrical shapes, draw a large X across the shape.

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Parent Tip: Review the logic above to help your child master the concept of lines of symmetry worksheet.
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