Since the shape is symmetrical along all its infinite axes; hence, it has infinite lines of symmetry. Various shapes and figures have different lines of symmetry. Each shape can either have one, two, three, or any specific number lines of symmetry. However, various shapes have infinite lines of symmetry.

The given shapes below do not have any axis of symmetry. It is useful for students to experiment and see what goes wrong, for example, when reflecting a rectangle about a diagonal. This activity helps develop visualization skills as well as experience with different shapes and how they which domain s includes unicellular orgainsms behave when reflected. This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry.

Look at the rectangle and the isosceles triangle. A rectangle has two lines of symmetry, and an isosceles triangle has one line of symmetry. Irregular hexagons with parallel opposite edges are called parallelogons and can also tile the plane by translation. In three dimensions, hexagonal prisms with parallel opposite faces are called parallelohedrons and these can tessellate 3-space by translation. If all of the sides of a polygon have the same length and all angles are of the same measure, it is regular.

A regular hexagonis a polygonwith 6 sides of equal measure. The letter H overlaps perfectly both vertically and horizontally. Similarly, the letter X has two lines of symmetry. The letters F, G, J, L, N, P, Q, R, S and Z have no line of symmetry.

In a rhombus, the number of symmetry lines is two, i.e. the diagonals that divide it into two identical halves, each mirror image of the other. A regular hexagon is a six-sided polygon with equal length sides. A regular hexagon contains six lines of symmetry, as we can see in the figure below. As we know, irregular polygons do not have lines of symmetry. So, henceforth in this article, we will only deal with regular polygons. The number of lines of symmetry depends on the shape or figure.

In the figure there are infinite lines of symmetry. The figure is symmetric along all the diameters. In the figure there are three lines of symmetry. The figure is symmetric along the 3 medians PU, QT and RS. The lines of symmetry in a polygon are the imaginary lines passing through the center of the polygon that divides the shape into similar halves. Let us observe the figure below to understand the lines of symmetry of a regular hexagon.

That is an equilateral triangle has 3 lines of symmetry, a square has 4 lines of symmetry, similarly a regular hexagon has 6 lines of symmetry. A polygon is said to be regular if all its sides are of equal length and all its angles are of equal measure. Thus, an equilateral triangle is a regular polygon of three sides. The symmetry lines of a rhombus are its diagonals.

A regular octagon contains eight lines of symmetry, as we can see in the figure below. A regular heptagon is a seven-sided polygon with equal length sides. A regular heptagon contains seven lines of symmetry, as we can see in the figure below. The horizontal line of symmetry is the symmetry line or horizontal axis of a form that splits the shape into two identical halves. The axis crosses the form to divide it into two equal pieces. Horizontal symmetry may be seen in the English alphabets, such as \(B, C, D, H\), and \(E\).

This means that if you change the order of the combination, it will not change the output of the glide reflection. The perfect example of a glide symmetry is the orientation of leaves on a branch. Not all the orientations of leaves are glide symmetric; however, the one shown in the figure has glide symmetry. If you rotate the branch, the leaves will move and come back to their original shape as they were before. When cut through an axis, the object with mirror images is known to have reflection symmetry.