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- All regular polygons are symmetrical in shape. The number of lines of symmetry is the same as the number of its sides. An object and its image are symmetrical with reference to its mirror line. If a figure has rotational symmetry of 180º, then it has point symmetry.
www.cuemath.com/geometry/symmetry/
All regular polygons are symmetrical in shape. The number of lines of symmetry is the same as the number of its sides. An object and its image are symmetrical with reference to its mirror line.
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.
- 3 min
In regular polygons (where all sides are congruent and all angles are congruent), the number of lines of symmetry equals the number of sides. (Start by drawing the lines through the vertices.) When working with a circle, any line through the center of the circle is a line of symmetry.
Are all regular polygons symmetrical? Yes, regular polygons are symmetrical shapes because they have equal sides and equal angles. They have line symmetry and rotational symmetry.
Rotational symmetry. Here you will learn about rotational symmetry, including rotational symmetry within polygons, angle properties, and symmetry of different line graphs. Students will first learn about rotational symmetry as part of geometry in high school. What is rotational symmetry?
If a figure is symmetric, then any pair of corresponding parts under the symmetry are congruent. Rorschach inkblots and logos commonly are reflective-symmetric. These symmetries will be useful when applied to various polygons. Symmetry is also important in algebra.
Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up). Polygon comes from Greek. Poly- means "many" and -gon means "angle".
![Line of Symmetry of Regular Polygon [with Formula and Examples]](https://ca.images.search.yahoo.com/search/images?p=are+all+polygons+symmetrical+in+shape+or+angle+geometry&ei=UTF-8&th=105.1&tw=105.1&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=6&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%3D105%26h%3D105&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=B1U3a8cIGbQb&sigi=6UxwBvHHONB0&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
