If the isosceles triangle is also an equilateral triangle, then it has three lines of symmetry. The isosceles triangle figure is symmetric along the bisector of the vertical angle. The figure is symmetric along the angle bisector OC.įrom the figure, there is one line of symmetry. An angle measures the amount of ‘turning’ between two straight lines that meet at a point.
The Line segment AB is symmetric along the perpendicular bisector l.įrom the figure, there is one line of symmetry. But we only consider a line as a line of symmetry that cuts the line segment into two equal halves. There may infinite line passes through the line segment and forms different angles. line of symmetry of a Line segment passes through its center. Line of Symmetry ExamplesĬheck out some of the examples of Line of Symmetry and learn completely with clear details.įrom the figure, there is one line of symmetry. It is symmetrical along all its diameters. Infinite Lines of Symmetry: A circle is an example of Infinite Lines of Symmetry. The symmetrical lines are 3 joining the opposite vertices and 3 joining the mid-points of the opposite sides. Six Lines of Symmetry: A regular hexagon is an example of Six Lines of Symmetry. The symmetrical lines are joining a vertex to the mid-point of the opposite side. The symmetrical lines are two along the diagonals and two along with the midpoints of the opposite sides.įive Lines of Symmetry: A regular pentagon is an example of Five Lines of Symmetry. This is symmetrical along its three medians.įour Lines of Symmetry: A square is an example of Four Lines of Symmetry. Three Lines of Symmetry: An equilateral triangle is an example of three lines of symmetry. Examples of Horizontal Line of Symmetry are C, B, H, E. The mirror image of the one half appears as the other similar half. Horizontal Line of Symmetry: If the axis of the shape cuts it into two equal halves horizontally, then it is called as Horizontal Line of Symmetry. Examples for vertical Line of Symmetry are H, M, A, U, O, W, V, Y, T. The mirror image of the one half appears in a vertical or straight standing position. Vertical Line of Symmetry: If the axis of the shape cuts it into two equal halves vertically then it is called a Vertical Line of Symmetry. There are mainly two types considered in Lines of Symmetry concepts. A basic definition of a line of symmetry is it divides an object into two halves.
Also, it is named a mirror line where it forms two reflections of an image. The line of symmetry is also called an axis of symmetry. Similarly, rectangle, square, circle are examples of a line of symmetry. If we cut an equilateral triangle into two halves, then it forms two right-angled triangles. The line of symmetry is the axis or imaginary line that passes through the center of an object and divides it into identical halves. Shoulder and arm tattoos by Micael Faccio on flicker.
(You might want to visit and browse the “Symmetry” gallery.)Īnd it appears in traditional Hawaiian and other Polynesian tattoo designs. You can see translation symmetry in lots of places. The brick wall is one example of a tessellation, which you’ll learn more about in the next chapter. A brick wall has translational symmetry in lots of directions! A vector (a line segment with an arrow on one end) can be used to describe a translation, because the vector communicates both a distance (the length of the segment) and a direction (the direction the arrow points).Ī design has translational symmetry if you can perform a translation on it and the figure appears unchanged. Can you complete the design so that it has the correct rotational symmetry? Explain how you did it.Ī translation (also called a slide) involves moving a figure in a specific direction for a specific distance. Each picture below shows part of a design with a marked center of rotation and an angle of rotation given.
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