Line Symmetry in RhombusĪ rhombus has two lines of symmetry. If a triangle is isosceles, then it has at least one line of symmetry, and if the triangle is equilateral, then it has three lines of symmetry. If a triangle is scalene, then it has no line symmetry. The line symmetry in a triangle depends upon its sides. So, a rectangle has just 1 vertical and 1 horizontal line of symmetry. When a rectangle is folded across its diagonals, the shape is not symmetrical. Line Symmetry in RectangleĪ rectangle has two lines of symmetry, that is lines through the midpoints of opposites sides. So, a square has 1 vertical, 1 horizontal, and 2 diagonal lines of symmetry. Some of the common examples of the line of symmetry in two-dimensional shapes are given below: Line Symmetry in SquareĪ square has 4 lines of symmetry, which are lines through the opposite vertices, and the lines through the midpoints of opposites sides make up the four lines of symmetry. We have plane shapes in geometry that have line symmetry such as square, rectangle, triangle, rhombus, parallelogram, etc. A diagonal line of symmetry divides a shape into identical halves when split across the diagonal corners. In such a case, the line of symmetry is diagonal. Diagonal Line of Symmetry: In the above shape, it can be noticed that the shape can be split across the corners to form two identical halves.Hence, the horizontal line of symmetry divides a shape into identical halves, when split horizontally, i.e., cut from right to left or vice-versa. In such a case, the line of symmetry is horizontal. Horizontal Line of Symmetry: In the above shape, it can be noticed that the shape can be split into two equal halves when cut horizontally.In such a case, the line of symmetry is vertical. Vertical Line of Symmetry: In the above shape, it can be noticed that the shape can be split into two identical halves by a standing straight line.The line of symmetry can be categorized based on the basis of its orientation as: Observe the different patterns of the line of symmetry an object can have with the help of a given figure. This line of symmetry is called the axis of symmetry. When a figure is folded in half, along its line of symmetry, both the halves match each other exactly.
Here, we have a square and we can fold it into two equal halves. The line of symmetry also known as a mirror line is a line that divides an object into two identical pieces. It is known as mirror symmetry because for the two halves which are symmetrical, one of them follows lateral inversion. Thus, a shape has to have at least one line of symmetry to be considered as a shape with line symmetry or mirror symmetry. Imagine folding a rhombus or square along each line of symmetry and each of the half matching up perfectly, then this is symmetry. The very first thing to check is that the object tends to have a reflection of one-half. Let us now see how a line symmetry is represented. So, a line of symmetry can be considered as an imaginary axis/line which divided a figure into two identical halves. The line of symmetry can be in any direction - horizontal, vertical, slanting, diagonal, etc. When there is at least one line in an object that divides a figure into two halves such that one-half is the mirror image of the other half, it is known as line symmetry or reflection symmetry. Example: Circle.Line symmetry is a type of symmetry about reflections. Some figures have not one or two, but infinite lines passing through the center, and the figure is still symmetrical. It can be seen in a square, that has all the sides equal. Here, the mirror line passes from the vertex to the opposite side dividing the triangle into two equal right triangles. Ex: Rectangle, Rhombus, and Alphabets like H and X. Some figures can be divided into two equal parts with two lines. Symmetric objects are found all around us, in nature, architecture, and art. And a shape that is not symmetrical is referred to as asymmetrical. It is a balanced and proportionate similarity found in two halves of an object, that is, one-half is the mirror image of the other half. You may have often heard of the term in day-to-day life. When an image looks identical to the original image after the shape is being turned or flipped, then it is called symmetry. This file which cuts the heart into two equal parts is known as the Line of Symmetry. When you open the folded heart, you can find the line on the center of the heart from where it is cut into two halves. Ex: When you fold the heart shape paper, the paper is folded from the center to get the perfect symmetry of the heart. It is a must to understand the concept of line of symmetry. In other words, one half is the mirror image of another half. Symmetry means The balanced and proportionate similarity between two halves of an object.
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