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- The axis of symmetry is best studied in a parabola, while graphing a quadratic function. Thus, the axis of symmetry of a parabola is the line about which a parabola is symmetric. It always passes through its vertex. The x -coordinate of the vertex is the equation of the parabola’s axis of symmetry.
mathmonks.com/symmetry/axis-of-symmetryAxis of Symmetry – Definition, Formulas, Equation, & Examples
Axis of Symmetry : THe line that divides the figure into two identical parts is called Axis of Symmetry. Vertical Line of Symmetry : The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical 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.
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.
- 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.
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
An axis of symmetry is an imaginary line that splits a shape or object into two or more identical parts. This is more commonly referred to as a “line of symmetry.” A line of symmetry is like a fold-line.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts. We also call this line the axis of symmetry or mirror line because it divides the figure symmetrically, and the divided parts look like mirror reflections of each other. More line of symmetry examples are shown in the figure below.
![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+x+and+z+axis&ei=UTF-8&th=111.2&tw=111.2&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%3D111%26h%3D111&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=wRHPm2zUiGWU&sigi=_Ti1gENx2xO7&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
