![]() In the figure too, the line does not divide to form mirror halves hence cannot be called the line of symmetry.The red line is not passing through the middle of the figure and thence does not divide the figure into exact halves replicating each other.In the figure the red line divides the figure into mirror halves, it is, therefore, the line of symmetry.Question: Is the red line the line of symmetry in the following patterns: An object is symmetrical or not can be understood only after studying linear symmetry and this is what the chapter intends to do. Symmetry is a common occurrence in many areas of mathematics and hence is studied using every aspect of similarity and identity. ![]() It is a sweeping line that divides the pattern into their replicating halves.īoth vertical line and horizontal line of symmetry pass through the middle of an object or alphabet or pattern to form mirror halves, which when placed on each other covers the other part. If the line passes through the pattern from right to left, hence dividing the pattern into identical halves, then such line is the horizontal line of symmetry. It is a standing line that divides the pattern into their replicating halves. If the line passes through the pattern from top to bottom, hence dividing the pattern into identical halves, then such line is the vertical line of symmetry. Lines of symmetry may be of two types depending on its orientation: Vertical Line of Symmetry The line of symmetry forms the basis of any object showing linear symmetry. The line passing through an alphabet, an object or a pattern dividing them into exact halves, identical to one another is the line of symmetry. In simpler words, Linear symmetry defines the system that shows the object or pattern is drawn or made in equal proportion with the requisite sides. Name a few more alphabets that are linearly symmetrical. ![]() This means that P is not a linearly symmetrical alphabet. What do you notice? The line segment does not divide the alphabet into identical halves. Now, draw a big P on the paper and draw a line exactly in the middle of the alphabet. ![]() You will see that both the halves are an exact replica of each other. Now, take an alphabet H and draw a line passing exactly from the middle of the alphabet. This shows that the circle is linearly symmetrical to each other. Fold the paper, what do you notice? The semi-circles when placed on each other lay exactly on each other perfectly. At the diameter of the circle, draw a line segment cutting the circle into two halves. Let us do an activity to clear the concept. Likewise when we draw a line segment exactly in the middle of a pattern or drawing, if one part is identical to the other then the pattern is said to be linearly symmetrical. Have you seen objects which, when cut into half form identical parts? When an object is cut exactly in the middle, to form two identical parts, then the first is said to be symmetrical to the other. So, if a design is symmetrical then it has to follow the basic principle of symmetry like forming mirror halves when sliced from middle through a line. A design or thing is said to be in symmetry if it is in equality with its other counterpart. When a design or arrangement repeats it is said to follow a certain pattern of repetition. You will notice that the patterns made are very rarely repetitive. This shape can be termed as a pattern of ink on paper. What do you observe? The drops of ink have taken a very unexpected shape. Fold the paper exactly at the center of the place where the ink has been poured. Take a paper and pour a few drops of ink on it. You can make a pattern yourself, let’s see how? It can also be referred as a drawing which follows a definite design that might be or might not be repetitive. The pattern can be defined as any picture that follows a specific arrangement of designs and decorations. Before heading towards symmetry we need to first understand the term pattern.
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