Students practice identifying lines of symmetry on common shapes like hearts, stars, and polygons.
Worksheet with geometric shapes for drawing lines of symmetry.
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Show Answer Key & Explanations
Step-by-step solution for: Printable Symmetry Worksheet With 2D Shapes UK
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Show Answer Key & Explanations
Step-by-step solution for: Printable Symmetry Worksheet With 2D Shapes UK
The task in the image asks you to draw a line of symmetry for each shape. A line of symmetry is a line that divides a shape into two identical halves, such that one half is the mirror image of the other.
Let’s go through each shape and determine where to draw the line(s) of symmetry:
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- Symmetry: Has 4 lines of symmetry.
- 2 diagonals (from corner to corner)
- 1 vertical line through the center
- 1 horizontal line through the center
- ✔ The image already shows a horizontal dashed line, which is one valid line of symmetry.
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- Symmetry: Infinite lines of symmetry (any line passing through the center).
- ✔ Draw any line through the center (e.g., vertical, horizontal, diagonal).
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- Symmetry: 6 lines of symmetry.
- 3 lines through opposite vertices
- 3 lines through midpoints of opposite sides
- ✔ Draw one line through opposite vertices or midpoints.
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- Symmetry: Only 1 line of symmetry – vertically down the middle.
- ✔ Draw a vertical line from top point to bottom cleft.
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- Symmetry: 2 lines of symmetry.
- 1 vertical (through the center)
- 1 horizontal (through the center)
- ✔ Draw either the vertical or horizontal line through the center.
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- Symmetry: 5 lines of symmetry.
- Each line goes from a tip to the midpoint of the opposite side.
- ✔ Draw one line from a tip to the center of the opposite side.
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- Symmetry: 5 lines of symmetry.
- Each line goes from a vertex to the midpoint of the opposite side.
- ✔ Draw one line from a vertex to the center of the opposite side.
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- Symmetry: 3 lines of symmetry.
- Each line goes from a vertex to the midpoint of the opposite side.
- ✔ Draw one line from a vertex to the midpoint of the opposite side.
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- Symmetry: 2 lines of symmetry.
- 1 vertical (along the long axis)
- 1 horizontal (along the short axis)
- ✔ Draw either the vertical or horizontal line through the center.
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For each shape:
- Identify how many lines of symmetry it has.
- Draw one line of symmetry (as the instruction says "draw a line", not all lines).
- Use a ruler to make it straight and accurate.
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| Shape | Line of Symmetry |
|--------------|------------------|
| Square | Horizontal or vertical through center (already shown) |
| Circle | Any line through center |
| Hexagon | Through opposite vertices or midpoints |
| Heart | Vertical down the middle |
| Rectangle | Vertical or horizontal through center |
| Star | From tip to opposite side midpoint |
| Pentagon | From vertex to opposite side midpoint |
| Triangle | From vertex to midpoint of opposite side |
| Oval | Vertical or horizontal through center |
✔ Tip: For most shapes, drawing a vertical or horizontal line through the center will work unless otherwise specified.
You can now complete the worksheet by drawing one line of symmetry on each shape using a pencil or pen.
Let’s go through each shape and determine where to draw the line(s) of symmetry:
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1. Square
- Symmetry: Has 4 lines of symmetry.
- 2 diagonals (from corner to corner)
- 1 vertical line through the center
- 1 horizontal line through the center
- ✔ The image already shows a horizontal dashed line, which is one valid line of symmetry.
---
2. Circle
- Symmetry: Infinite lines of symmetry (any line passing through the center).
- ✔ Draw any line through the center (e.g., vertical, horizontal, diagonal).
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3. Regular Hexagon
- Symmetry: 6 lines of symmetry.
- 3 lines through opposite vertices
- 3 lines through midpoints of opposite sides
- ✔ Draw one line through opposite vertices or midpoints.
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4. Heart
- Symmetry: Only 1 line of symmetry – vertically down the middle.
- ✔ Draw a vertical line from top point to bottom cleft.
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5. Rectangle
- Symmetry: 2 lines of symmetry.
- 1 vertical (through the center)
- 1 horizontal (through the center)
- ✔ Draw either the vertical or horizontal line through the center.
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6. Star (Regular 5-pointed star)
- Symmetry: 5 lines of symmetry.
- Each line goes from a tip to the midpoint of the opposite side.
- ✔ Draw one line from a tip to the center of the opposite side.
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7. Regular Pentagon
- Symmetry: 5 lines of symmetry.
- Each line goes from a vertex to the midpoint of the opposite side.
- ✔ Draw one line from a vertex to the center of the opposite side.
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8. Equilateral Triangle
- Symmetry: 3 lines of symmetry.
- Each line goes from a vertex to the midpoint of the opposite side.
- ✔ Draw one line from a vertex to the midpoint of the opposite side.
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9. Oval (Ellipse)
- Symmetry: 2 lines of symmetry.
- 1 vertical (along the long axis)
- 1 horizontal (along the short axis)
- ✔ Draw either the vertical or horizontal line through the center.
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Summary: How to Solve
For each shape:
- Identify how many lines of symmetry it has.
- Draw one line of symmetry (as the instruction says "draw a line", not all lines).
- Use a ruler to make it straight and accurate.
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Final Answer (What to Draw):
| Shape | Line of Symmetry |
|--------------|------------------|
| Square | Horizontal or vertical through center (already shown) |
| Circle | Any line through center |
| Hexagon | Through opposite vertices or midpoints |
| Heart | Vertical down the middle |
| Rectangle | Vertical or horizontal through center |
| Star | From tip to opposite side midpoint |
| Pentagon | From vertex to opposite side midpoint |
| Triangle | From vertex to midpoint of opposite side |
| Oval | Vertical or horizontal through center |
✔ Tip: For most shapes, drawing a vertical or horizontal line through the center will work unless otherwise specified.
You can now complete the worksheet by drawing one line of symmetry on each shape using a pencil or pen.
Parent Tip: Review the logic above to help your child master the concept of line of symmetry worksheet.