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Symmetry Worksheets - Free Printable

Symmetry Worksheets

Educational worksheet: Symmetry Worksheets. Download and print for classroom or home learning activities.

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This is a line symmetry worksheet. The task is to complete the missing half of each shape by reflecting it across the given mirror line (the vertical or horizontal line shown). I will solve this problem by identifying the key points on the existing half of each shape and then plotting their mirrored positions on the other side of the line.

I will work through each of the four shapes one by one.

Shape 1 (Top Left)



- First, look closely: This shape is a jagged, tree-like figure with its right edge being the vertical mirror line. I need to reflect the left side across this line to create the right side.
- Next, find information: I will identify the coordinates of the key vertices on the left side relative to the grid and then calculate their mirrored positions.
- Then, review the findings: The reflection will be a perfect mirror image, so for every point on the left, there will be a corresponding point on the right at an equal distance from the mirror line.

The completed shape will be a symmetrical, jagged tree-like figure.

Shape 2 (Top Right)



- First, look closely: This shape has a complex, angular outline with its bottom edge as the horizontal mirror line. I need to reflect the top part downwards.
- Next, find information: I will identify the key vertices on the top half and plot their mirrored positions below the horizontal line.
- Then, review the findings: The reflection will create a symmetrical shape that looks like a stylized letter 'M' or a mountain range.

The completed shape will be a symmetrical, complex polygon.

Shape 3 (Bottom Left)



- First, look closely: This shape resembles a factory or building with a chimney. The horizontal line at the bottom is the mirror line. I need to reflect the entire shape upwards.
- Next, find information: I will identify the key vertices of the building and chimney and plot their mirrored positions above the horizontal line.
- Then, review the findings: The reflection will create a symmetrical shape that looks like the original building but inverted above it.

The completed shape will be a symmetrical, factory-like figure.

Shape 4 (Bottom Right)



- First, look closely: This shape has a vertical mirror line on its left edge. I need to reflect the right side across this line to create the left side.
- Next, find information: I will identify the key vertices on the right side and plot their mirrored positions on the left.
- Then, review the findings: The reflection will create a symmetrical shape that looks like a stylized letter 'E' or a staircase.

The completed shape will be a symmetrical, angular figure.

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Final Answer



To complete the worksheet, you need to draw the mirror image of each given half-shape across the provided mirror line. Here is a description of how to complete each shape:

1. Top Left Shape: Draw the mirror image of the jagged left side across the vertical mirror line to create a symmetrical tree-like figure.
2. Top Right Shape: Draw the mirror image of the complex top part across the horizontal mirror line to create a symmetrical, mountain-like figure.
3. Bottom Left Shape: Draw the mirror image of the entire building and chimney across the horizontal mirror line to create a symmetrical, factory-like figure.
4. Bottom Right Shape: Draw the mirror image of the right side across the vertical mirror line to create a symmetrical, angular figure.

By following these steps, you will have completed all four shapes using line symmetry.
Parent Tip: Review the logic above to help your child master the concept of symmetry worksheet for 2nd grade.
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