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- Isosceles triangles have 2 sides of equal length. If you join the vertex where the 2 equal sides meet to the midpoint of the opposite side, this will form a line of symmetry. No other lines work. Scalene triangles, i.e. triangles with 3 sides of different lengths, have no lines of symmetry.
blog.thinkacademy.uk/what-is-a-line-of-symmetry/
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.
- Lines of Symmetry of Triangles
- Lines of Symmetry of A Square
- Lines of Symmetry of A Rectangle
- Lines of Symmetry of A Rhombus
- Lines of Symmetry of A Parallelogram
- Lines of Symmetry of A Kite
- Lines of Symmetry on A Trapezium
- Lines of Symmetry of A Pentagon
- Lines of Symmetry of A Hexagon
- Lines of Symmetry on An Octagon
Equilateral triangles have 3 lines of symmetry, which each pass through each corner to the middle of the opposite side. Isosceles triangles have 1 line of symmetry, which is directly between the two equal sides and equal angles. Scalene triangles have no equal sides and so, they have no lines of symmetry.
A square has 4 lines of symmetry. There are 2 lines of symmetry passing from each corner to the opposite corner. There are a further 2 lines of symmetry passing through the middle of each side to the middle of the opposite side.
A rectangle has 2 lines of symmetry. These lines pass from the middle of each side to the middle of the opposite side. There are no lines of symmetry passing through the diagonals of the rectangle. The diagonals of a rectangle are not lines of symmetry. We can see that the diagonals of a rectangle are not lines of symmetry.
A rhombus has 2 lines of symmetry. These lines of symmetry pass through the diagonals of the rhombus, from each corner to the opposite corner. Here are the 2 lines of symmetry of a rhombus.
A parallelogram has 0 lines of symmetry. This is because the diagonals of a parallelogram are not symmetrical. If we fold a parallelogram along its diagonals, it will not fold exactly in half without overlap.
Every kite has one line of symmetry. This line of symmetry passes vertically down the centre of the kite.
Trapeziums have no lines of symmetry unless they are isosceles trapeziums which have 1 line of symmetry. This means that a trapezium only has a line of symmetry if both of its diagonal sides are the same length. In this case, the line of symmetry passes directly between the 2 diagonal sides.
A regular pentagon has 5 lines of symmetry. Each line of symmetry passes from each of the 5 corners, through the centre of the pentagon to the middle of the opposite side. Here are the 5 lines of symmetry shown on a regular pentagon.
A regular hexagon has 6 lines of symmetry. 3 lines of symmetry pass from each of the corners to the opposite corner. The other 3 lines of symmetry pass from the middle of each side to the middle of the opposite side. Here are the lines of symmetry of a regular hexagon.
A regular octagon has 8 lines of symmetry. 4 lines of symmetry pass from each of the corners to the opposite corner. The other 4 lines of symmetry pass from the middle of each side to the middle of the opposite side. Here are the lines of symmetry on a regular octagon.
You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry. Here I have folded a rectangle one way, and it didn't work .
Let us consider a list of examples and find out lines of symmetry in different figures: 1. Symmetry of a Line: A line has indefinite length and it can be considered that each line perpendicular to the given line divides the line into two equal halves.
A circle has infinite lines of symmetry since any line drawn through its center will divide the circle into identical halves. The figure above just shows a few lines of symmetry. As long as a given line passes through the center of the circle, it is a line of symmetry.
A given line has a line of symmetry or it is symmetrical about a line if the line divides a given figure into two identical halves. The line is called the axis of symmetry or line of symmetry. There are two types of lien symmetries according to which we can classify the symmetries in different geometrical figures – Horizontal Lines of ...
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.
![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+length+and+length&ei=UTF-8&th=115.8&tw=115.8&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=3&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%3D115%26h%3D115&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=HYAMxjYf8psK&sigi=6UxwBvHHONB0&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
