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      • Line symmetry exists when a figure can fold over itself along a line. For example square, rectangle, rhombus. Given below is the picture representation of the shapes. Example 2: Ria notices a standard rectangular piece of paper. Help her in calculating a number of lines of symmetry using the line symmetry properties.
  1. Here you will learn about lines of symmetry, including symmetry properties within polygons, angle properties, and symmetry of different line graphs. Students first learn about line symmetry in grade 4 with their work with 2D shapes in geometry.

    • 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. Sep 24, 2024 · Symmetry in mathematics refers to a balance or similarity in shape, size, or arrangement on both sides of a dividing line or point. It’s a fundamental concept used to analyze patterns and structures in mathematics.

  3. Here you will learn about symmetry, including the definition of symmetry, how to recognize a line of symmetry in 2D shapes, and how to identify line of symmetry in figures. Students will first learn about symmetry as a part of geometry in 4th grade.

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  4. When there is at least one line in an object that divides a figure into two halves such that one-half is the mirror image of the other half, it is known as line symmetry or reflection symmetry. The line of symmetry can be in any direction - horizontal, vertical, slanting, diagonal, etc.

  5. When a horizontal line 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. For example, the image below shows a horizontal line of symmetry.

  6. What are lines of symmetry? Lines of symmetry are straight lines that divide a shape into two equal parts where one part is an exact reflection of the other. E.g. A rectangle has two lines of symmetry (LoS) shown below using a dashed line.

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