Therefore, a rectangle has only one line of symmetry running vertically and one line horizontally. The shape that results from folding a rectangle along one of its diagonals does not have perfect symmetry. The Symmetry of the Lines in a RectangleĪ rectangle has two symmetry lines, which pass through the midpoints of the sides that are opposite one another. Therefore, a square has one line of symmetry running vertically, one line running horizontally, and two lines running diagonally. The four lines of symmetry in a square are made up of the lines that pass through the opposing vertices and the lines that pass through the center points of the opposite sides.

There is a list of some of the more common examples of lines of symmetry in shapes that are just two dimensions: Square With a Symmetry of Lines Some examples of these plane shapes include the square, rectangle, triangle, rhombus, and parallelogram. In geometry, there are plane shapes that have line symmetry. When a shape is cut along its diagonal symmetry line, it is split into two identical halves. In this particular instance, the line of symmetry takes the form of a diagonal. The line of symmetry known as the diagonal line can be seen in the shape that was just described by seeing how it can be divided into 2 halves that are mirror images of one another by cutting it at the corners. When a shape is split horizontally, sliced from right to left or vice versa, the horizontal line of symmetry will divide the shape into two identical halves.įigure 2: Representation of horizontal line of symmetry. When anything like this happens, the line of symmetry will be horizontal. This is an example of a horizontal line of symmetry. When the shape in question is cut horizontally, it can be observed that it is possible to separate it into two halves of equal size. In this particular instance, the line of symmetry will be horizontal.

The line of symmetry that runs vertically across reveals that the figure can be cut in half along a fixed straight line to create 2 halves that are mirror images of one another. Types of Line Symmetryīased on the direction of the line of symmetry, it is possible to classify it as one of the following: Vertical Line Symmetry The term “ axis of symmetry” refers to this particular line of symmetry. When a pattern is folded in half along its line of symmetry, the resulting halves are identical to one another when viewed from either side. Now that we have a square, we may fold it into two halves, each equal in size. Axis of SymmetryĪ line that splits an object into two parts that are mirror images of one another is considered the line of symmetry or the mirror line. The fact that one of the two symmetrical halves follows lateral inversion gives rise to the phenomenon that is referred to as mirror symmetry. Therefore, for a shape to be categorized as either having line symmetry or mirrored symmetry, it must possess at least one line of symmetry. Consider folding a rhombus or squares along either line of symmetry when you unfold it, each of the halves will perfectly match up with the other. The initial thing that needs to be verified is whether or not the object typically has a reflection of half. Let’s have a look at the representation of a line symmetry presently.įigure 1: Representation of line of symmetry. A line of symmetry can therefore be thought of as an imaginary axis or line that divides a figure into two halves.

The line of symmetry may run in any direction, including horizontally, vertically, diagonally, diagonally, and so on. This is the case when there is a line symmetry in an object. It is referred to as line symmetry or reflection symmetry when at least one line in an object splits a figure into two halves in such a way that one half is the mirror image of the other half.

One sort of symmetry that involves reflections is called line symmetry. In addition, we will work through several examples so that you can get a better grasp on the topic. In addition, we will investigate the line symmetry of various geometric shapes and count the number of lines of symmetry that each shape possesses. We will go through the definition of the idea of a line of symmetry here in this essay that we have written. For instance, the top and bottom sides of a butterfly’s wing seem precisely the same, and the human face similarly exhibits line symmetry. Mirror symmetry and reflection symmetry are two other names for this type of symmetry. If we want to put this concept into simple terms, we may state that if we use a line to divide an object into two equal pieces, then the two sides of the line will look the same. One sort of symmetry is known as line symmetry, and it is characterized by the fact that one half of an object mirrors the other half of the object across a line.

Reflection symmetry geometry definition