Line Symmetry Sheet 8: Complete the patterns using the mirror lines.

Problem Description:

The task is to complete the given patterns using two mirror lines. The goal is to reflect the existing parts of the shapes across the provided mirror lines to create symmetrical figures.

Solution Approach:

1. Identify the Mirror Lines: Each pattern has two mirror lines, which are typically vertical and horizontal lines that divide the grid into four quadrants.
2. Reflect the Existing Shapes:
- For each shape in one quadrant, reflect it across the vertical mirror line to complete the opposite side horizontally.
- Then, reflect the resulting shape across the horizontal mirror line to complete the opposite side vertically.
3. Ensure Symmetry: The final figure should be symmetrical with respect to both mirror lines.

Step-by-Step Solution:

#### Pattern 1:
- Existing Shape: A zigzag arrow-like shape in the bottom-left quadrant.
- Reflection Steps:
1. Reflect the shape across the vertical mirror line to complete the bottom-right quadrant.
2. Reflect the entire bottom row (both left and right) across the horizontal mirror line to complete the top row.
- Final Pattern: The completed figure will have a symmetrical zigzag arrow-like shape in all four quadrants.

#### Pattern 2:
- Existing Shape: A complex shape with multiple lines in the top-right quadrant.
- Reflection Steps:
1. Reflect the shape across the vertical mirror line to complete the top-left quadrant.
2. Reflect the entire top row (both left and right) across the horizontal mirror line to complete the bottom row.
- Final Pattern: The completed figure will have a symmetrical complex shape in all four quadrants.

#### Pattern 3:
- Existing Shape: A geometric pattern with triangles and rectangles in the bottom-left quadrant.
- Reflection Steps:
1. Reflect the shape across the vertical mirror line to complete the bottom-right quadrant.
2. Reflect the entire bottom row (both left and right) across the horizontal mirror line to complete the top row.
- Final Pattern: The completed figure will have a symmetrical geometric pattern in all four quadrants.

#### Pattern 4:
- Existing Shape: A pattern with triangles and a diagonal line in the bottom-left quadrant.
- Reflection Steps:
1. Reflect the shape across the vertical mirror line to complete the bottom-right quadrant.
2. Reflect the entire bottom row (both left and right) across the horizontal mirror line to complete the top row.
- Final Pattern: The completed figure will have a symmetrical pattern with triangles and diagonal lines in all four quadrants.

Final Answer:

The completed patterns will be symmetrical with respect to both the vertical and horizontal mirror lines. Here is a description of the final patterns:

1. Pattern 1: A symmetrical zigzag arrow-like shape in all four quadrants.
2. Pattern 2: A symmetrical complex shape with multiple lines in all four quadrants.
3. Pattern 3: A symmetrical geometric pattern with triangles and rectangles in all four quadrants.
4. Pattern 4: A symmetrical pattern with triangles and diagonal lines in all four quadrants.

\[
\boxed{\text{Symmetrical patterns as described above}}
\]