Draw a Line of Symmetry | Worksheet - Free Printable
Educational worksheet: Draw a Line of Symmetry | Worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Draw a Line of Symmetry | Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Draw a Line of Symmetry | Worksheet
The task is to divide each shape into two equal halves using a line. The goal is to ensure that the two resulting parts are identical in size and shape. Some shapes can be divided in more than one way, so we will explore both possible divisions where applicable.
1. Rectangle (Top Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
2. Triangle (Top Middle):
- Solution 1: Draw a vertical line through the apex and the midpoint of the base.
- Solution 2: Draw a line from the midpoint of one side to the opposite vertex.
3. Ellipse (Top Right):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
4. Rectangle (Middle Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
5. Circle (Middle Middle):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
6. Hexagon (Middle Right):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
7. Square (Bottom Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
8. Diamond (Bottom Middle Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
9. Semicircle (Bottom Middle Right):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the diameter.
10. Pentagon (Bottom Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a diagonal line through the center.
11. House Shape (Bottom Middle):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center of the rectangle part.
12. Butterfly Shape (Bottom Right):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
- Vertical Division: A vertical line divides the shape into two mirror-image halves along the y-axis.
- Horizontal Division: A horizontal line divides the shape into two mirror-image halves along the x-axis.
- Diagonal Division: For some shapes like the diamond or pentagon, a diagonal line can also create equal halves.
Each shape can be divided into two equal halves as described above. The solutions involve drawing lines (vertical, horizontal, or diagonal) that pass through the center of symmetry of each shape.
$$
\boxed{\text{Draw lines as described for each shape.}}
$$
Shapes and Their Solutions:
1. Rectangle (Top Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
2. Triangle (Top Middle):
- Solution 1: Draw a vertical line through the apex and the midpoint of the base.
- Solution 2: Draw a line from the midpoint of one side to the opposite vertex.
3. Ellipse (Top Right):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
4. Rectangle (Middle Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
5. Circle (Middle Middle):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
6. Hexagon (Middle Right):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
7. Square (Bottom Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
8. Diamond (Bottom Middle Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
9. Semicircle (Bottom Middle Right):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the diameter.
10. Pentagon (Bottom Left):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a diagonal line through the center.
11. House Shape (Bottom Middle):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center of the rectangle part.
12. Butterfly Shape (Bottom Right):
- Solution 1: Draw a vertical line through the center.
- Solution 2: Draw a horizontal line through the center.
Explanation:
- Vertical Division: A vertical line divides the shape into two mirror-image halves along the y-axis.
- Horizontal Division: A horizontal line divides the shape into two mirror-image halves along the x-axis.
- Diagonal Division: For some shapes like the diamond or pentagon, a diagonal line can also create equal halves.
Final Answer:
Each shape can be divided into two equal halves as described above. The solutions involve drawing lines (vertical, horizontal, or diagonal) that pass through the center of symmetry of each shape.
$$
\boxed{\text{Draw lines as described for each shape.}}
$$
Parent Tip: Review the logic above to help your child master the concept of symmetry worksheet for 2nd grade.