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Shapes and Lines of Symmetry | 4th Grade Geometry Worksheets - Free Printable

Shapes and Lines of Symmetry | 4th Grade Geometry Worksheets

Educational worksheet: Shapes and Lines of Symmetry | 4th Grade Geometry Worksheets. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Shapes and Lines of Symmetry | 4th Grade Geometry Worksheets
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 "Shapes and Lines of Symmetry", I can help you solve this type of problem and explain how to identify lines of symmetry.

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🔍 What is a Line of Symmetry?


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. If you fold the shape along the line, both sides will match perfectly.

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How to Solve This Worksheet:


For each shape, determine if it has a line of symmetry. If it does, draw the line(s) and write "yes" or "no" accordingly.

Let’s go through common shapes like those likely on the worksheet:

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#### 1. Square
- Has 4 lines of symmetry:
- 2 diagonals
- 1 vertical
- 1 horizontal
- ✔️ Answer: Yes

#### 2. Regular Pentagon (5 sides)
- Has 5 lines of symmetry:
- One from each vertex to the midpoint of the opposite side
- ✔️ Answer: Yes

#### 3. Rhombus (diamond shape)
- Has 2 lines of symmetry:
- Along the diagonals
- ✔️ Answer: Yes

#### 4. Flower-like shape (e.g., 6-petal flower)
- Usually has 6 lines of symmetry if evenly spaced
- ✔️ Answer: Yes

#### 5. Oval or Ellipse
- Has 2 lines of symmetry:
- Vertical and horizontal axes
- ✔️ Answer: Yes

#### 6. Star (5-pointed star)
- Has 5 lines of symmetry:
- From each point to the center
- ✔️ Answer: Yes

#### 7. Key-shaped figure
- Typically no line of symmetry because one side is curved, the other straight
- ✔️ Answer: No

#### 8. Octagon (regular)
- Has 8 lines of symmetry:
- 4 through opposite vertices, 4 through midpoints of opposite sides
- ✔️ Answer: Yes

#### 9. Arrow (like →)
- Usually no line of symmetry unless symmetrically designed
- But if it's symmetric (e.g., arrowhead mirrored), then 1 vertical line
- ⚠️ Depends on design — most arrows have no line of symmetry
- ✔️ Answer: No

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📝 General Tips:


- Look for mirror-image halves.
- Try folding the shape mentally.
- Regular polygons (equal sides & angles) always have lines of symmetry.
- Irregular or asymmetric shapes usually don’t.

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Final Answer Format (for each shape):


Write:
> Yes — draw a line of symmetry
> No — leave blank or write "no"

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If you describe the exact shapes or list them, I can give you specific answers for each one!
Parent Tip: Review the logic above to help your child master the concept of symmetry worksheet 4th grade.
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