Symmetrical shapes worksheets | Worsheets library - Free Printable

Symmetry Worksheet Solution and Explanation

The worksheet focuses on understanding symmetry, specifically identifying lines of symmetry and completing symmetric shapes. Let's solve each section step by step.

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#### Section 1: Tell whether the dotted lines on each shape represent a line of symmetry or not. Write 'YES' or 'NO'.

We need to determine if the dotted lines divide each shape into two identical halves that are mirror images of each other.

1. Shape 1 (Candy):
- The dotted line runs vertically through the center of the candy.
- Both sides of the line are mirror images of each other.
- Answer: YES

2. Shape 2 (Hexagon):
- The dotted line runs horizontally through the center of the hexagon.
- Both sides of the line are mirror images of each other.
- Answer: YES

3. Shape 3 (Arrow):
- The dotted line runs vertically through the center of the arrow.
- Both sides of the line are mirror images of each other.
- Answer: YES

4. Shape 4 (Star):
- The dotted line runs diagonally through the star.
- The two sides of the line are not mirror images of each other.
- Answer: NO

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#### Section 2: Draw a line of symmetry on each shape.

We need to draw a line that divides each shape into two identical halves that are mirror images of each other.

1. Shape 1 (Circle):
- A circle has infinite lines of symmetry. Any straight line passing through the center is a line of symmetry.
- Draw a vertical line through the center.
- Line drawn: Vertical line through the center.

2. Shape 2 (Star):
- A regular star has multiple lines of symmetry. One such line can be drawn vertically through the center.
- Draw a vertical line through the center.
- Line drawn: Vertical line through the center.

3. Shape 3 (Flower-like shape):
- This shape has vertical symmetry.
- Draw a vertical line through the center.
- Line drawn: Vertical line through the center.

4. Shape 4 (Rectangle with an extension):
- This shape has horizontal symmetry.
- Draw a horizontal line through the center.
- Line drawn: Horizontal line through the center.

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#### Section 3: Draw the other half of each symmetric shape.

We need to complete each shape by drawing the missing half so that it becomes symmetric about the given dotted line.

1. Shape 1 (Semicircle):
- The dotted line is the vertical axis of symmetry.
- Reflect the given semicircle across the line to complete the circle.
- Completed shape: Full circle.

2. Shape 2 (L-shaped figure):
- The dotted line is the vertical axis of symmetry.
- Reflect the given half across the line to complete the shape.
- Completed shape: Mirror image of the given half on the left side.

3. Shape 3 (Letter 'E'):
- The dotted line is the vertical axis of symmetry.
- Reflect the given half across the line to complete the shape.
- Completed shape: Mirror image of the given half on the right side.

4. Shape 4 (Triangle):
- The dotted line is the vertical axis of symmetry.
- Reflect the given half across the line to complete the shape.
- Completed shape: Mirror image of the given half on the right side.

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Final Answers:

#### Section 1:
1. YES
2. YES
3. YES
4. NO

#### Section 2:
- Circle: Vertical line through the center.
- Star: Vertical line through the center.
- Flower-like shape: Vertical line through the center.
- Rectangle with extension: Horizontal line through the center.

#### Section 3:
- Semicircle: Complete the circle.
- L-shaped figure: Draw the mirror image on the left.
- Letter 'E': Draw the mirror image on the right.
- Triangle: Draw the mirror image on the right.

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Final Answer Box:
\boxed{
\text{Section 1: YES, YES, YES, NO}
}