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Irregular polygons
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- Irregular polygons are polygons that do not have all equal angles and all equal side lengths. However, they can have line symmetry. For example, these irregular polygons have line symmetry.
thirdspacelearning.com/us/math-resources/topic-guides/geometry/lines-of-symmetry/
This page will helps you to understand the concepts of symmetry, lines of symmetry, types of symmetry along with example alphabets A to Z ,numbers 0 to 9 and major geometry shapes. Symmetry : The dotted line divides the figure into two identical parts.
Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
- 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
Lines of symmetry in irregular shapes. As soon as the angles in two-dimensional shapes change from their equal property, the number of lines of symmetry changes. Let’s look at different shapes (specifically quadrilaterals) and their number of lines of symmetry.
An isosceles triangle has one line of symmetry: Two lines of symmetry. A rectangle has two lines of symmetry: a horizontal and a vertical line of symmetry. Three lines of symmetry. An equilateral triangle has three lines of symmetry: Four lines of symmetry.
A shape can have many lines of symmetry. Let us follow some of the pictures or figures given below. (i) Examples of vertical lines of symmetry: Vertical Lines of Symmetry. (ii) Examples of horizontal lines of symmetry: Horizontal Lines of Symmetry. Each is divided by a straight line. Both the parts are equal in all respects.
![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+z&ei=UTF-8&th=119.2&tw=119.2&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=3&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%3D119%26h%3D119&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=OOm8vfYQTIe4&sigi=wVO.NVfNNYz8&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
