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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.
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.
So this is not a Line of Symmetry. But when I try it this way, it does work (the folded part sits perfectly on top, all edges matching): So this is a Line of Symmetry. Triangles. A Triangle can have 3, or 1 or no lines of symmetry:
May 15, 2024 · A shape or body can have Infinite symmetry lines. For example, in circles. An object can have one symmetry line. For example, a butterfly’s wings have only one line of symmetry along its vertical axis. Some objects can have two symmetry lines. Check: Symmetry. Line of Symmetry Types
Some of the common examples of the line of symmetry in two-dimensional shapes are given below: Line Symmetry in Square. A square has 4 lines of symmetry, which are lines through the opposite vertices, and the lines through the midpoints of opposites sides make up the four lines of symmetry. So, a square has 1 vertical, 1 horizontal, and 2 ...
Nov 28, 2022 · A parallelogram has no lines of symmetry. Line symmetry of a rhombus. A rhombus has two lines of symmetry, its diagonals: Line symmetry of a kite. A kite has one line of symmetry: Line symmetry of a regular polygon. A regular polygon with n sides has n lines of symmetry. However, the way the lines of symmetry are arranged depends on whether the ...
![Line of Symmetry of Regular Polygon [with Formula and Examples]](https://ca.images.search.yahoo.com/search/images?p=which+shape+has+a+line+symmetry+with+given+angles+and+two&ei=UTF-8&th=114.6&tw=114.6&imgurl=https%3A%2F%2Fd77da31580fbc8944c00-52b01ccbcfe56047120eec75d9cb2cbd.ssl.cf6.rackcdn.com%2F0066d574-f25f-4b5b-9582-f44f0bc96ce6%2Fslide47.jpg&rurl=https%3A%2F%2Fwww.teachoo.com%2F12662%2F3444%2FLine-of-Symmetry---Regular-Polygon%2Fcategory%2FFigures-with-more-than-one-lines-of-symmetry%2F&size=74KB&name=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&oid=4&h=945&w=945&turl=https%3A%2F%2Ftse1.mm.bing.net%2Fth%3Fid%3DOIP.EtE5w-FY-wiywjXuzpTDXAHaHa%26pid%3DApi%26rs%3D1%26c%3D1%26qlt%3D95%26w%3D114%26h%3D114&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=p8R5qYKtG1.d&sigi=6UxwBvHHONB0&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
