There can be more than one such line or line of symmetry. All isosceles triangles have one line of symmetry. F G J L N P Q R S Z have neither horizontal nor vertical lines of symmetry. The figure is symmetric along the line l joining the midpoints of two parallel sides AB and DC.

A few of the shapes’ line of symmetry are discussed below. This line of symmetry is also known as the mirror line because it presents two reflections of an image with the same dimensions that can coincide. Hence, it is also called reflection symmetry. An object can have more than one line of symmetry depending on the object’s geometry. A line of symmetry is an imaginary line or axis which passes through the center of a body or an object.

The dotted line in all options , and , divides the figure symmetrically. The horizontal line drawn in does not divide the kite shape into two equal or mirrored halves. The lower part is bigger than the upper half. A figure or shape that can be divided into two equal parts by a line is called SYMMETRIC figures. The shapes and objects that are irregular and do not resemble each other when divided into two parts are called ASYMMETRIC.

A graph has y-axis symmetry if whenever the point is on the graph, then (-x, y) is also on the graph. A graph is said to have x-axis symmetry if whenever the point, , is on the graph, then (x, -y) is also on the graph. Mathematically, a line of symmetry is a line of reflection that maps any point on the figure back to the figure. Q4) The following figures have more than one line of symmetry.

In a hexagonal grid each line is as short as it can possibly be if a large area is to be filled with the fewest hexagons. This means that honeycombs require less wax to construct and gain much strength under compression. Full symmetry of the regular form is r12 and no symmetry is labeled a1. Some bodies do have multiple lines of symmetry.

These symmetries express nine distinct symmetries of a regular hexagon. John Conway labels these by a letter and group order. These two forms are duals of each other and have half the symmetry order of the regular hexagon. The i4 forms are regular hexagons flattened or stretched along one symmetry direction. It can be seen as an elongated rhombus, while d2 and p2 can be seen as horizontally and vertically elongated kites.

Q.4. What letters of the English alphabet have reflectional symmetry (i.e., symmetry-related mirror reflection). B) There are infinite lines of symmetry in a circle, and each symmetry line is the circle’s diameter. A line of symmetry of a circle is a line that passes through its centre. As a result, a circle has an infinite number of lines of symmetry.

Name the polygon that has nine lines of symmetry. How many lines of symmetry does the following figure have? The 6 lines of symmetry divide the hexagon into 6 congruent parts.

The shape can be cut only vertically, producing mirror images. This task is best suited for instruction although it could be adapted for assessment. If students have not yet learned the terminology for trapezoids and parallelograms, the teacher can begin by explaining the meaning of those terms. A 45° – 45° – 90° set-square and a protractor have the same number of lines of symmetry. A square and a rectangle have the same number of lines of symmetry.

Polygons are two dimensional shapes with straight sides, and regular polygons are those with all equal sides and angles. Learn the differences between regular and irregular polygons and the various parts that are used to create them. Not all micheal jackson doll lines of reflection are also lines of symmetry just because they divide the figure into two equal parts. Although the line through the vertices of the irregular hexagon below divides it into two equal parts, it is not a line of symmetry.