Lines of Symmetry worksheet with six geometric shapes for students to identify and count symmetry lines.

Let's solve this step by step. The task is to identify the name, number of sides, and number of lines of symmetry for each of the six shapes shown on the worksheet.

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🔷 Shape 1: Triangle (Equilateral)

- Name: Equilateral Triangle
- Sides: 3
- Lines of Symmetry: 3
- Each line goes from a vertex to the midpoint of the opposite side.

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🔷 Shape 2: Pentagon (Regular Pentagon)

- Name: Regular Pentagon
- Sides: 5
- Lines of Symmetry: 5
- Each line goes from a vertex to the midpoint of the opposite side.

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🔷 Shape 3: Rectangle

- Name: Rectangle
- Sides: 4
- Lines of Symmetry: 2
- One vertical line through the middle, one horizontal line through the middle.
- (Note: Only if it’s not a square — but since it’s a rectangle, not a square, only 2 lines.)

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🔷 Shape 4: Kite

- Name: Kite
- Sides: 4
- Lines of Symmetry: 1
- Only one line of symmetry: from the top vertex to the bottom vertex (vertical line).
- The other diagonal does not create symmetry unless it's a rhombus or square.

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🔷 Shape 5: Trapezoid (Isosceles Trapezoid)

- Name: Isosceles Trapezoid
- Sides: 4
- Lines of Symmetry: 1
- One vertical line through the midpoints of the two parallel sides.

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🔷 Shape 6: Square

- Name: Square
- Sides: 4
- Lines of Symmetry: 4
- Two diagonals, and two lines through the midpoints of opposite sides (vertical and horizontal).

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✔ Final Answers:

| Shape | Name | Sides | Lines of Symmetry |
|-------|-------------------|--------|--------------------|
| 1 | Equilateral Triangle | 3 | 3 |
| 2 | Regular Pentagon | 5 | 5 |
| 3 | Rectangle | 4 | 2 |
| 4 | Kite | 4 | 1 |
| 5 | Isosceles Trapezoid| 4 | 1 |
| 6 | Square | 4 | 4 |

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📝 How to Fill in the Worksheet:

Just write the answers under each shape like this:

#### Top Left (Triangle):
- Name: Equilateral Triangle
- Sides: 3
- Lines of Symmetry: 3

#### Top Right (Pentagon):
- Name: Regular Pentagon
- Sides: 5
- Lines of Symmetry: 5

#### Middle Left (Rectangle):
- Name: Rectangle
- Sides: 4
- Lines of Symmetry: 2

#### Middle Right (Kite):
- Name: Kite
- Sides: 4
- Lines of Symmetry: 1

#### Bottom Left (Trapezoid):
- Name: Isosceles Trapezoid
- Sides: 4
- Lines of Symmetry: 1

#### Bottom Right (Square):
- Name: Square
- Sides: 4
- Lines of Symmetry: 4

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✔ This completes the worksheet! Let me know if you'd like a printable version or visual explanation.