If we draw a line, maybe a vertical line, let's try to draw it as close to the middle as possible, something like this, and we fold, let's take one side, if we fold this side over, these two lines might match up nicely, but this line here is gonna create something more like this, which does not match what's shown over here, so that's not a line of symmetry, and anywhere else vertical, same thing. So let's go back to the shapes we were given. But here's one and as soon as we find one, we know we have a symmetrical shape. There was many places we could have drawn a line and folded it so that it worked so the two halves matched exactly. Shapes are symmetrical if they have at least one line of symmetry and circles have many, many, many lines of symmetry. Try to be as close to the center as possible and here if we took one side, again it doesn't matter which side, let's say over here, let's say the left side, and we folded this left side onto the right side, would it match exactly and if our line truly was in the center of the circle, then yes it would, which means that this line is a line of symmetry and because we can draw this line of symmetry on our circle, it means that our circle is symmetrical. Maybe if we drew a line and we'll try to get as close down the center as we can here like this. And does that match exactly? No, definitely not. So let's take one side, doesn't matter which one, let's say the top side, and if we were gonna fold this top side down onto the bottom, would it match exactly what is shown under here? Let's see, it would probably look something like this. This line is a line of symmetry if we can take one side of the line and fold it onto the other and have them match exactly. Let's draw a line maybe somewhere like this. Let's maybe draw a circle and then we could put a line on that circle. A line of symmetry is a line where we can fold the image and have both halves match exactly. And now that answer is only helpful if we know what a line of symmetry is. A shape is symmetrical if it has at least one line of symmetry, a line of symmetry. For example,įor example, a square has 4 lines of symmetry, as shown below.Which shapes are symmetrical? To answer this, we need to know what it means for a shape to be symmetrical. Lines of symmetry in different symmetrical shapesĮach shape has a different number of lines of symmetry, whether it’s a quadrilateral rhombus or parallelogram, a scalene triangle or isosceles triangle, your child should understand that each shape has different lines of symmetry. A Third Space Learning online lesson exploring reflecting shapes in a line of symmetry. However, shapes and objects that do not have two identical halves when divided with a line of symmetry are called asymmetrical figures. If you were to place a mirror along this line, the shape would remain unchanged. In symmetrical shapes, like a regular polygon, this means that if you were to fold the shape along the line of symmetry, both halves would match exactly and be mirror images of each other. What is a line of symmetry?Ī line of symmetry is a line that cuts a shape exactly in half. But can be used for children of primary school age at any point of their journey into symmetry and mathematics. This blog is part of our series of blogs designed for parents, teachers and carers supporting home learning and looking for home learning resources during the Covid-19 epidemic and beyond. To help your child understand this part of the maths curriculum, this guide helps explain what a line of symmetry is and provides a few practice questions to test their skills.
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