Symmetry Worksheets | Grade1to6.com - Free Printable

Problem: Draw the lines of symmetry for each shape.

#### Solution Explanation:

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. To solve this problem, we need to identify and draw all possible lines of symmetry for each given shape.

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Step-by-Step Solution:

#### 1. Circle
- A circle has infinite lines of symmetry because you can draw a line through its center in any direction, and both sides will be symmetrical.
- However, typically, we represent at least two perpendicular lines of symmetry (horizontal and vertical) to illustrate the concept.

Lines of Symmetry:
- Draw a horizontal line through the center.
- Draw a vertical line through the center.

#### 2. Hexagon
- A regular hexagon has 6 lines of symmetry.
- Three lines pass through opposite vertices.
- Three lines pass through the midpoints of opposite sides.

Lines of Symmetry:
- Draw 3 lines connecting opposite vertices.
- Draw 3 lines connecting the midpoints of opposite sides.

#### 3. Square
- A square has 4 lines of symmetry.
- Two lines pass through the midpoints of opposite sides (horizontal and vertical).
- Two lines are diagonals (connecting opposite corners).

Lines of Symmetry:
- Draw a horizontal line through the center.
- Draw a vertical line through the center.
- Draw two diagonal lines connecting opposite corners.

#### 4. Irregular Shape (Modified Cross)
- This shape has 2 lines of symmetry.
- One line passes horizontally through the center.
- One line passes vertically through the center.

Lines of Symmetry:
- Draw a horizontal line through the center.
- Draw a vertical line through the center.

#### 5. Equilateral Triangle
- An equilateral triangle has 3 lines of symmetry.
- Each line passes through a vertex and the midpoint of the opposite side.

Lines of Symmetry:
- Draw a line from each vertex to the midpoint of the opposite side.

#### 6. Rectangle
- A rectangle has 2 lines of symmetry.
- One line passes horizontally through the center.
- One line passes vertically through the center.

Lines of Symmetry:
- Draw a horizontal line through the center.
- Draw a vertical line through the center.

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Final Answer:

- Circle: Horizontal and vertical lines of symmetry.
- Hexagon: 6 lines of symmetry (3 through vertices, 3 through midpoints of sides).
- Square: 4 lines of symmetry (2 horizontal/vertical, 2 diagonal).
- Irregular Shape (Modified Cross): 2 lines of symmetry (horizontal and vertical).
- Equilateral Triangle: 3 lines of symmetry (through each vertex to the midpoint of the opposite side).
- Rectangle: 2 lines of symmetry (horizontal and vertical).

Boxed Final Answer:
\[
\boxed{
\text{
1. Circle: Horizontal and Vertical
2. Hexagon: 6 lines (3 through vertices, 3 through midpoints)
3. Square: 4 lines (2 horizontal/vertical, 2 diagonal)
4. Modified Cross: Horizontal and Vertical
5. Equilateral Triangle: 3 lines (through vertices to midpoints)
6. Rectangle: Horizontal and Vertical
}
}
\]