Line Symmetry Sheet 8: Complete the patterns using the two mirror lines.
Line symmetry worksheet with four grid patterns, each featuring a partial shape and a mirror line to complete the symmetrical design.
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Show Answer Key & Explanations
Step-by-step solution for: Symmetry Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Symmetry Worksheets
To solve the problem of completing the patterns using the given mirror lines, we need to reflect the existing parts of the shapes across the mirror lines. Here's a step-by-step explanation for each pattern:
---
- Given: A shape with a vertical and horizontal mirror line.
- Task: Reflect the shape across both mirror lines.
#### Steps:
1. Vertical Mirror Line Reflection:
- The shape on the left side of the vertical line is reflected to the right side.
- Each point or segment on the left is mirrored horizontally to the right.
2. Horizontal Mirror Line Reflection:
- The shape above the horizontal line is reflected below it.
- Each point or segment above the horizontal line is mirrored vertically below it.
#### Result:
- After reflecting across both lines, the completed shape will be symmetrical both vertically and horizontally.
---
- Given: A shape with a vertical mirror line.
- Task: Reflect the shape across the vertical mirror line.
#### Steps:
1. Vertical Mirror Line Reflection:
- The shape on the right side of the vertical line is reflected to the left side.
- Each point or segment on the right is mirrored horizontally to the left.
#### Result:
- After reflecting across the vertical mirror line, the completed shape will be symmetrical vertically.
---
- Given: A shape with a vertical mirror line.
- Task: Reflect the shape across the vertical mirror line.
#### Steps:
1. Vertical Mirror Line Reflection:
- The shape on the left side of the vertical line is reflected to the right side.
- Each point or segment on the left is mirrored horizontally to the right.
#### Result:
- After reflecting across the vertical mirror line, the completed shape will be symmetrical vertically.
---
- Given: A shape with a diagonal mirror line.
- Task: Reflect the shape across the diagonal mirror line.
#### Steps:
1. Diagonal Mirror Line Reflection:
- The shape above the diagonal line is reflected below it.
- Each point or segment above the diagonal line is mirrored diagonally below it.
#### Result:
- After reflecting across the diagonal mirror line, the completed shape will be symmetrical along the diagonal.
---
1. Identify the mirror line(s).
2. For each point or segment in the given part of the shape:
- Measure its distance and direction from the mirror line.
- Place the corresponding point or segment on the other side of the mirror line at the same distance and orientation.
3. Connect the reflected points to complete the shape.
---
The completed patterns are obtained by reflecting the given parts across the specified mirror lines. Since I cannot draw the images here, the solution involves following the steps above for each pattern. If you need a visual representation, you can use graph paper and manually reflect the shapes as described.
Boxed Final Answer:
\[
\boxed{\text{Complete each pattern by reflecting across the given mirror lines.}}
\]
---
Pattern 1: Top Left
- Given: A shape with a vertical and horizontal mirror line.
- Task: Reflect the shape across both mirror lines.
#### Steps:
1. Vertical Mirror Line Reflection:
- The shape on the left side of the vertical line is reflected to the right side.
- Each point or segment on the left is mirrored horizontally to the right.
2. Horizontal Mirror Line Reflection:
- The shape above the horizontal line is reflected below it.
- Each point or segment above the horizontal line is mirrored vertically below it.
#### Result:
- After reflecting across both lines, the completed shape will be symmetrical both vertically and horizontally.
---
Pattern 2: Top Right
- Given: A shape with a vertical mirror line.
- Task: Reflect the shape across the vertical mirror line.
#### Steps:
1. Vertical Mirror Line Reflection:
- The shape on the right side of the vertical line is reflected to the left side.
- Each point or segment on the right is mirrored horizontally to the left.
#### Result:
- After reflecting across the vertical mirror line, the completed shape will be symmetrical vertically.
---
Pattern 3: Bottom Left
- Given: A shape with a vertical mirror line.
- Task: Reflect the shape across the vertical mirror line.
#### Steps:
1. Vertical Mirror Line Reflection:
- The shape on the left side of the vertical line is reflected to the right side.
- Each point or segment on the left is mirrored horizontally to the right.
#### Result:
- After reflecting across the vertical mirror line, the completed shape will be symmetrical vertically.
---
Pattern 4: Bottom Right
- Given: A shape with a diagonal mirror line.
- Task: Reflect the shape across the diagonal mirror line.
#### Steps:
1. Diagonal Mirror Line Reflection:
- The shape above the diagonal line is reflected below it.
- Each point or segment above the diagonal line is mirrored diagonally below it.
#### Result:
- After reflecting across the diagonal mirror line, the completed shape will be symmetrical along the diagonal.
---
General Approach for Reflection:
1. Identify the mirror line(s).
2. For each point or segment in the given part of the shape:
- Measure its distance and direction from the mirror line.
- Place the corresponding point or segment on the other side of the mirror line at the same distance and orientation.
3. Connect the reflected points to complete the shape.
---
Final Answer:
The completed patterns are obtained by reflecting the given parts across the specified mirror lines. Since I cannot draw the images here, the solution involves following the steps above for each pattern. If you need a visual representation, you can use graph paper and manually reflect the shapes as described.
Boxed Final Answer:
\[
\boxed{\text{Complete each pattern by reflecting across the given mirror lines.}}
\]
Parent Tip: Review the logic above to help your child master the concept of rotational symmetry worksheet with answers.