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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.
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.
- 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.
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.
In the coordinate plane, the graph of an equation can have symmetry about the x-, y-axis, or some other line. x-axis symmetry A graph is said to have x-axis symmetry if whenever the point, (x, y), is on the graph, then (x, -y) is also on the graph.
Triangles. A Triangle can have 3, or 1 or no lines of symmetry: Quadrilaterals. Different types of Quadrilaterals (a 4-sided plane shape): Regular Polygons. A regular polygon has all sides equal, and all angles equal: An Equilateral Triangle (3 sides) has 3 Lines of Symmetry. A Square (4 sides) has 4 Lines of Symmetry. A Regular Pentagon (5 sides)
Symmetrical Figures. Symmetrical shapes or figures are the objects where we can place a line such that the images on both sides of the line mirror each other. The below set of figures form symmetrical shapes when we place a plane or draw the lines.
![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+y+and+3+points&ei=UTF-8&th=103.7&tw=103.7&imgurl=https%3A%2F%2Fd1avenlh0i1xmr.cloudfront.net%2Flarge%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=62KB&name=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&oid=1&h=945&w=945&turl=https%3A%2F%2Ftse1.mm.bing.net%2Fth%3Fid%3DOIP.US3nRBGwOdl1ZquMbduEpAHaHa%26pid%3DApi%26rs%3D1%26c%3D1%26qlt%3D95%26w%3D103%26h%3D103&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=mi2pciV994Xw&sigi=wVO.NVfNNYz8&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
![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+y+and+3+points&ei=UTF-8&th=103.7&tw=103.7&imgurl=https%3A%2F%2Fd1avenlh0i1xmr.cloudfront.net%2F958d8fb3-35d8-4b87-80eb-74bf2f555015%2Fslide48.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=75KB&name=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&oid=6&h=945&w=945&turl=https%3A%2F%2Ftse1.mm.bing.net%2Fth%3Fid%3DOIP.kTX38C2GQgAHf33M6_XoMAHaHa%26pid%3DApi%26rs%3D1%26c%3D1%26qlt%3D95%26w%3D103%26h%3D103&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=1QLG.SmU60bi&sigi=_Ti1gENx2xO7&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
