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4 Draw a line from each vertex through the center and check for line symmetry. 5 State the number of lines of symmetry. The equilateral triangle has 3 3 lines of symmetry. An equilateral triangle has 3 3 equal sides and 3 3 equal angles, so it will have 3 3 lines of symmetry.
An Equilateral Triangle (3 sides) has 3 Lines of Symmetry. A Square (4 sides) has 4 Lines of Symmetry. A Regular Pentagon (5 sides) has 5 Lines of Symmetry. A Regular Hexagon (6 sides) has 6 Lines of Symmetry. A Regular Heptagon (7 sides)
- 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.
Example 3: using angles. Show that the hexagon below has no lines of symmetry. Locate the centre of the 2D shape. Show step. Draw a small x x in the centre of the hexagon (this does not have to be exact): Use a ruler to visualise a horizontal and/or vertical line of symmetry through the centre of the shape. Show step.
Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line which divides the shape is called the symmetry. So, if we place a mirror on the line of symmetry we can see the complete image. When a symmetrical shape is folded along the line of symmetry, one half of ...
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 would see ...
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These lessons help Geometry students learn about line symmetry and plane symmetry, with video lessons, examples and solutions. The following diagram shows the line of symmetry for quadrilaterals and triangles. Scroll down the page for more examples and solutions on lines of symmetry. Printable & Online Polygons & Symmetry Worksheets.
![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+using+a+line+plot+of+3+point&ei=UTF-8&th=118.8&tw=118.8&imgurl=https%3A%2F%2Fd1avenlh0i1xmr.cloudfront.net%2Flarge%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=60KB&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.1rK-DAESnfW5guQw75zr_gHaHa%26pid%3DApi%26rs%3D1%26c%3D1%26qlt%3D95%26w%3D118%26h%3D118&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=QzbMI20Z0ilo&sigi=Qxhtx49Cc9xF&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
