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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.
- Vertical Line of Symmetry
- Horizontal Line of Symmetry
- Diagonal Line of Symmetry
It is an imaginary vertical line that goes from top to bottom (or vice-versa) in an object and divides it into right and left mirror halves. For example, a club shape has a vertical line of symmetry.
It is an imaginary horizontal line that goes from right to left (or vice-versa) in an object and divides it into top and bottom mirror halves. For example, an arrow has a horizontal line of symmetry.
It is an imaginary diagonal or skew line that goes slanting in an object and divides it into mirror halves, as in the case of a square.
A figure can have one or more lines of line symmetry depending on its shape and structure. For a parabola with quadratic equation y = ax 2 + bx + c, line of symmetry is x = -b/2a. ☛ Related Articles
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 .
State the equation of the lines of symmetry for the equation y=\frac {4} {x} y = x4. Locate the centre of the 2D shape. Show step. The graph of y=\frac {4} {x} y = x4 has two asymptotes. Asymptotes are lines that are reached when a value is undefined, in this case when x=0, x = 0, or y=0 y = 0.
Line of symmetry equation. Given a quadratic equation in standard form, ax 2 + bx + c, we can find the equation of the line of symmetry of the parabola as: For example, given the equation 2x 2 + 3x - 5, the equation for the axis of symmetry of the parabola is: Thus, the parabola has a vertical line of symmetry at .
Symmetry defines that the shape is identical on both sides when it is divided by a line. The symmetry of different shapes, regular or irregular. Learn about the symmetry of shapes with examples at BYJU’S.
![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+%3D+4&ei=UTF-8&th=109.6&tw=109.6&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%3D109%26h%3D109&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=ZOtsUpjmZgBb&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+%3D+4&ei=UTF-8&th=109.6&tw=109.6&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=5&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%3D109%26h%3D109&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=nbcXSCQeI7_U&sigi=_Ti1gENx2xO7&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
