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      • Any shape that can be folded down a line to get two matching halves is said to have a line symmetry.
      thirdspacelearning.com/us/math-resources/topic-guides/geometry/symmetry/
  1. Lines of symmetry are straight lines that divide a shape into two equal parts, where one part is an exact reflection or mirror image of the other. In geometry, many 2D shapes have line symmetry. For example,

    • which shape has a line symmetry using1
    • which shape has a line symmetry using2
    • which shape has a line symmetry using3
    • which shape has a line symmetry using4
    • 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. 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.

  3. 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. If you put a mirror on this line, you...

  4. Many – Lines Symmetry. The line which divides the shape into two equal parts from top to bottom is called the vertical line of symmetry. Some objects have a horizontal line of symmetry which divides the shape into equal parts from left to right side.

  5. Aug 3, 2023 · In geometry, the number of lines of symmetry varies according to the shape as shown in case of polygons. In triangles, the line of symmetry can be one, three, or zero, depending upon its type. In quadrilaterals, the line of symmetry can be one, two, four, or zero based on the shape.

  6. A regular hexagon has 6 lines of symmetry, a decagon has 10 lines of symmetry, and an icosagon has 20 lines of symmetry. But what about a circle? A circle can be rotated around its centre and the shape will remain identical as the radius is the same for every point.

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