Symmetry Worksheet (for Kids) | Mocomi - Free Printable

I will solve this worksheet on symmetry by analyzing each section step-by-step.

Section 1: Tell whether the dotted lines represent a line of symmetry

A line of symmetry divides a shape into two identical halves that are mirror images of each other. I need to check each shape with its dotted line.

First Shape (Candy):
- The dotted line runs diagonally across the candy.
- If you fold the shape along this line, the two halves do not match perfectly because the wrappers at the ends are not symmetrical in relation to this diagonal line.
- Answer: NO

Second Shape (Hexagon):
- The dotted line is horizontal, cutting the hexagon in half.
- A regular hexagon has multiple lines of symmetry, and a horizontal line through its center is one of them. The top half is a perfect mirror image of the bottom half.
- Answer: YES

Third Shape (Arrow):
- The dotted line is horizontal, cutting the arrow in half.
- The top part (the shaft) and the bottom part (the arrowhead) are not mirror images. The arrowhead points down, so folding it would not create a match.
- Answer: NO

Fourth Shape (Star):
- The dotted line runs from one point of the star to the opposite indentation.
- For a regular five-pointed star, this is a valid line of symmetry. Folding along this line would make the two sides match.
- Answer: YES

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Section 2: Draw a line of symmetry on each shape

I need to identify at least one line of symmetry for each of these shapes.

Circle:
- A circle has infinite lines of symmetry. Any line passing through its center is a line of symmetry.
- I can draw a vertical, horizontal, or diagonal line through the center.

Five-pointed Star:
- This star has 5 lines of symmetry. Each line goes from a point to the midpoint of the opposite side.
- I can draw a vertical line from the top point down through the center.

Clover-like Shape:
- This shape looks like a three-leaf clover with a stem. It appears to have one vertical line of symmetry down the middle, dividing the left and right leaves symmetrically.
- I will draw a vertical line through the center.

Cross-shaped Figure:
- This shape has both horizontal and vertical lines of symmetry.
- I can draw either a vertical or horizontal line through the center.

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Section 3: Draw the other half of each symmetric shape

I need to reflect the given half across the dotted line to complete the shape.

First Shape (Half-Moon):
- The dotted line is vertical.
- I need to draw the mirror image of the curved part on the right side to complete the full moon shape.

Second Shape (Half-Bottle):
- The dotted line is vertical.
- I need to reflect the curved body and the neck on the right side to complete the bottle.

Third Shape (Half-Arrow/Geometric):
- The dotted line is vertical.
- I need to reflect the zig-zag pattern on the right side to complete the shape.

Fourth Shape (Half-Triangle):
- The dotted line is horizontal at the base.
- I need to reflect the triangle upwards to complete a diamond or rhombus shape.

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Final Answers:

Section 1:
- Candy: NO
- Hexagon: YES
- Arrow: NO
- Star: YES

Section 2:
- Circle: Draw any diameter (e.g., vertical line through center).
- Star: Draw a vertical line from top point to bottom indentation.
- Clover: Draw a vertical line through the center.
- Cross: Draw a vertical or horizontal line through the center.

Section 3:
- Half-Moon: Reflect the curve to the right to form a full circle.
- Half-Bottle: Reflect the shape to the right to form a complete bottle.
- Half-Arrow: Reflect the zig-zag to the right to complete the shape.
- Half-Triangle: Reflect the triangle upward to form a diamond.

This completes the worksheet.