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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,
- 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.
We know that in one symmetrical figure may have more than one line of symmetry. A line of symmetry can be drawn vertically as well as horizontally depending upon the shape of the object. Some symmetrical shapes have one line of symmetry, some have two and some have more than two, as shown below:
Sometimes you can fold a shape in half, and if it fits into itself perfectly with no overlaps you have found a line of symmetry. Some shapes have more than one line of symmetry. Let's look at...
Jan 25, 2023 · If a shape or an object can be divided into two identical pieces, it exhibits symmetry. One side of a symmetrical object is the mirror image of the other. Few shapes like spheres, circles, and regular polygons have multiple lines of symmetry. Continue reading to learn more about Figures with Multiple Lines of Symmetry.
May 15, 2024 · Line of Symmetry: A line of symmetry, also known as an axis of symmetry or mirror line, is a line that splits a shape or object into two identical and symmetrical halves. Each half mirrors the other, making them look like reflections of one another across the line which indicates that both parts of the shape would perfectly match.
Aug 3, 2023 · In quadrilaterals, the line of symmetry can be one, two, four, or zero based on the shape. In regular polygons, the line of symmetry can be multiple depending on the number of sides. A circle has infinite lines of symmetry as an infinite number of lines pass through its center.
