Search results
quizlet.com
- 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. There are an infinite number of lines of symmetry.
mathbitsnotebook.com/Geometry/Transformations/TRSymmetry.html
Example 1: regular shapes. How many lines of symmetry does the equilateral triangle have? Locate the center of the 2D shape. 2 Draw a vertical line through the center and check for line symmetry. The vertical line through the center is a line of symmetry dividing the triangle into two equal halves that are mirror images of each other.
Lines of symmetry in circles. 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.
That means if we rotate the circle by any degree of angle along its diameter, it will always be symmetrical around the diameter. Lines of Symmetry in a Circle. A circle has its diameter as the line of symmetry, and a circle can have an infinite number of diameters. Hence, a circle has infinite lines of symmetry.
Even though a circle isn’t a polygon, it is still a 2D shape. As long as the line of symmetry goes directly through the centre of the circle, it has unlimited lines of symmetry!
- 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.
Any shape that can be folded down a line to get two matching halves is said to have a line symmetry. The number of lines of symmetry for a shape can be determined by using a ruler to visualize when the shape or object can be divided equally into 2 equal pieces that are a reflection of each other.
If an object has multiple lines of symmetry, all the lines of symmetry intersect at the center of the object. Consider the following two-dimensional shapes. No lines of symmetry. A parallelogram has no lines of symmetry because there is no line that can divide it such that the two halves will be mirror images.
![[Solved] How many lines of symmetry does a circle have?](https://ca.images.search.yahoo.com/search/images?p=why+do+regular+shapes+have+many+lines+of+symmetry+does+a+circle+have+angles&ei=UTF-8&th=107.5&tw=110.5&imgurl=https%3A%2F%2Fstorage.googleapis.com%2Ftb-img%2Fproduction%2F21%2F12%2Fsymmetry.png&rurl=https%3A%2F%2Ftestbook.com%2Fquestion-answer%2Fhow-many-lines-of-symmetry-does-a-circle-have--61a9c8d82b57bfa75a9f4916&size=24KB&name=%5BSolved%5D+How+many+lines+of+symmetry+does+a+circle+have%3F&oid=1&h=516&w=530&turl=https%3A%2F%2Ftse1.mm.bing.net%2Fth%3Fid%3DOIP.mrATAntE_2gpeO5O7ofKFwHaHN%26pid%3DApi%26rs%3D1%26c%3D1%26qlt%3D95%26w%3D110%26h%3D107&tt=%5BSolved%5D+How+many+lines+of+symmetry+does+a+circle+have%3F&sigr=.4ifYJTWpEiF&sigit=bXiOYEpCfsOV&sigi=4UQhbahfv1C5&sign=Hn.gUKak.uSE&sigt=Hn.gUKak.uSE "[Solved] How many lines of symmetry does a circle have?")
