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  1. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other. The line is called a line of symmetry. This is sometimes called a 'mirror line' or 'mirror ...

    • What Is A Line of symmetry?
    • Symmetric and Asymmetric Figures
    • Types of Lines of Symmetry
    • Number of Lines of Symmetry in A Shape
    • Line of Symmetry in Geometry
    • Solved Examples on Line of Symmetry
    • Conclusion

    In mathematics, an object is said to have symmetry if it can be divided into two identical halves. The line that divides the object into its identical halves is called the line of symmetry. For example, in the given image, the line passing through the middle of the flower is its line of symmetry.

    A figure or shape that can be divided into two equal parts by a line is called symmetric figures. The shapes and objects that are irregular and do not resemble each other when divided into two parts are called asymmetric figures.

    The line of symmetry can be categorized based on the basis of its orientation. Horizontal Line of Symmetry: If a horizontalline divides an object into two identical halves, it is called a horizontal line of symmetry. That means the horizontal line of symmetry goes from left to right (or vice versa) in an object. Vertical Line of Symmetry: If a vert...

    The line of symmetry produces reflections that coincide. A shape or an object can have multiple lines of symmetry as per its structure. Shapes with one line of symmetry have only one line that divides them into identical parts. Shapes with multiple lines of symmetry have more thanone line that divides them equally. The axis of symmetry can be horiz...

    Axis of symmetry in common two-dimensional geometrical shapes are given below: Geometric shapescan have more than one line of symmetry. Let us study some geometric shapes with one and multiple axes of symmetry.

    Example 1: How many lines of symmetry do the given figure have? Solution: The given figure only has one line of symmetry. Example 2: Identify whether the given line of symmetry is a vertical, horizontal, or diagonal line of symmetry. Solution:The given line is a vertical line of symmetry. Example 3: Write three capital letters in the English alphab...

    Lines of symmetry can help children understand and create patterns. It teaches a sense of balance and order and opens them up to the natural world where symmetry abounds—insects, seashells, and leaves, to name a few. Learn more mathematical concepts on SplashLearn, the game-based learning platform equipped with interactive games and fun worksheets.

  2. In a symmetrical shape, one-half is the mirror image of the other half. The imaginary axis or line along which the figure can be folded to obtain the symmetrical halves is called the line of symmetry. Symmetry Definition. A shape is said to be symmetric if it can be divided into two more identical pieces which are placed in an organized way.

  3. How to find symmetry in a 2D shape. In order to draw/identify lines of symmetry you need to: Locate the center of the 2D shape. Draw a horizontal and/or vertical line of symmetry through the center of the shape. Draw a line from each vertex through the center to check for all lines of symmetry. State the number of lines of symmetry.

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  4. Example 2: Identify the shapes which do not have rotational symmetry from the below figure. Solution: As we know, rotational symmetry is a type of symmetry, when we rotate a shape in a particular direction, the resultant shape is exactly the same as the original shape. Thus, from the given figure (a) and (c) do not have a rotational symmetry.

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  5. A 2D shape is symmetrical if a line can be drawn through it so that either side of the line looks exactly the same. The line is called a line of symmetry. This is sometimes called a 'mirror line ...

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  7. How do you know if a shape is symmetrical? A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other. You would call this the line of symmetry.

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