![]() And therefore, the answer is that the line of symmetry here is line □ only. However, in this question, we were given a choice of three lines, which could be lines of symmetry. In fact, we can say that any line passing through the center of a circle is an axis of symmetry because it divides the circle into two identical parts.īecause there are an infinite number of lines that can pass through the center of a circle, then the circle has an infinite number of lines of symmetry. It is characterized as reflection symmetry if, at most, one line splits an image into two halves, with one half being the mirror reflection of the other. Recognizing Symmetry in Reflection The first thing you’ll notice is that one side mirrors the other. The symmetry line can go in any direction. One or more streams of reflection symmetry can exist in a figure. In this case, the two halves of the circle would fit exactly on top of one another. A line of symmetry is the line along which a mirror may be held so that one half appears as that of the reflection of its counterpart. So now let’s try folding the circle across line □. Once again, we can see that line □ is not a line of symmetry. So if we imagine we’re folding this part of the circle across the line □, then the shape would look something like this. This means that line □ is not a line of symmetry. In 2-dimensional geometry, a glide reflection (or transflection) is a symmetry operation that consists of a reflection over a line and then translation along that line, combined into a single operation. However, the piece that we’ve folded over would not lie exactly on top of the remaining piece. Now, let’s take the case of a figure or shape or an alphabet. Lines of Symmetry Rotational Symmetry Reflection of Alphabets and Figures. This smaller part of the circle would be folded on top of the larger part. This object and its reflection image show mirror symmetry. So let’s look at this line □ and visualize what would happen if we folded the circle along line □. Sometimes, if it’s difficult to visualize a reflection, it can be helpful to trace the shape that we’re trying to reflect and then folding it along the line of reflection. ![]() A line of symmetry or a line of reflection will create a mirror image of that shape. A line of symmetry divides a figure into two regions that are mirror images of each other. Here, we’re looking for the line of symmetry in the circle or the reflection symmetry of a circle. Pattern & Symmetry ( Block B Unit 2) (Sandie Bradley) Symmetry Sheet 1 (Ian Mason) PDF - Sheet 2 (Ian Mason) PDF. Which of these are lines of symmetry of the circle? Symmetry (Cindy Hoy) Symmetry (Gareth Pitchford) Lines of Symmetry (Jo Szyndler) DOC. ![]()
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