Coins, clock faces, wheels, the image of the full moon in the sky: these are all examples of circles which we encounter on a regular basis. How Many Lines of Symmetry Are in a Circle? Any line that bisects a circle through its center is a line of symmetry. Comment. So let's go back to the shapes we were given. Join now. version, and feedback on it in the comment section is highly The file can be run via the free online Hence there are infinitely many lines of symmetry. Any diameter forms a line of symmetry. Lv 7. A Triangle can have 3, or 1 or no lines of symmetry: Equilateral Triangle (all sides equal, all angles equal) Isosceles Triangle (two sides equal, two angles equal) Scalene Triangle (no sides equal, no angles equal) 3 Lines of Symmetry : 1 Line of Symmetry : No Lines of Symmetry: Quadrilaterals . It is a non-traditional line, but it still counts. But here's one and as soon as we find one, we know we have a symmetrical shape. Ask your question. 1. Explain why each line of symmetry divides the circle in half. 1 0? Below is a picture of two lines not containing $O$: Note that in each case, for a line $L$ through the circle that does not A line of symmetry means that the image on one side of the line of symmetry is an exact reflection of the image on the other side of the line. 1 year ago. Answers (2) Antonyo 12 December, 15:59. One way to create such a line is to pick a point on the top half of the circle and draw the line through that point and the center $O$. Infinitely many, in fact uncountably many. I believe that's infinite. But, there's one other possible candidate. 0 0. jeffdanielk. The lines of symmetry for a circle are shown in the image. If the shapes on both sides of the line do not get matched, then the line through which the paper is folded can not be considered as line of symmetry. A cut through the circle still is a line. Paper folding method we can imagine the shape given as a paper. Shapes are symmetrical if they have at least one line of symmetry and circles have many, many, many lines of symmetry. There are uncountably many such lines. 1 decade ago . This means that the parts of the circle on each side of the line must have the same area. Is Brad's picture correct? Thank you for your time Date: 04/14/97 at 22:28:18 From: Doctor Steven … are all lines of symmetry. Hence, a circle has infinite lines of symmetry. Many mathematicians and philosophers independently found that circles can be described as having an infinite number of edges, and this conception is useful when considering lines that touch circles at only one point, of which there are an infinite number. The circle is, in some sense, the most symmetric two dimensional figure and it is partly for this reason that it is so familiar. Even though the concept of an infinite number of lines is fairly abstract, fourth graders can understand infinity in an informal way. (a) 1 (b) 2 (c) 3 (d) none of these. Today, every activity, from paintings to engineering and designing clothes and jewellery uses the idea of giving perfect symmetry in its every artefact. David. If we consider the circle to be part of 3D space, we can choose the line through the centre of the circle and perpendicular to the plane in which the circle lies. (a) S (b) A (c) U (d) H. 18. Login. The cardinality of the set of lines of symmetry is the same as the cardinality of the set of real numbers. The file should be considered a draft Any line of symmetry in a triangle joins a vertex of the triangle to the midpoint of the opposite side. Would you say there are "infinity" lines of symmetry, 360, or one? By Staff Writer Last Updated Mar 27, 2020 12:58:59 PM ET. 4.G Lines of symmetry for triangles A circle has its diameter as the line of symmetry, and a circle can have an infinite number of diameters. 17. An easy way to check if a line is an axis of symmetry or not, is to reflect perpendicularly the geometric figure to the opposite side of the line. Mr. Watkins asked his students to draw a line of symmetry for a circle Pi is an irrational number; it cannot be expressed completely using standard numbers. A circle has an infinite number of lines of symmetry. thank you. please help! How Many Lines Of Symmetry Does A Circle Have Get the answers you need, now! There are an infinite number of lines of symmetry. The algebraic perspective, using the equation that defines a circle, and. The line of symmetry is also called the mirror line or axis of symmetry. on using it effectively. How many lines of symmetry does a circle have? For example, none of the lines drawn in the following image is an axis of symmetry. Log in. Answered by Tyler Wood. What is a line of symmetry in a triangle? Print Task Typeset May 4, 2016 at 18:58:52. Ask your question. Brad is also correct. 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