![]() ![]() ![]() 3 lines of symmetry pass from each of the corners to the opposite corner. Here are the 5 lines of symmetry shown on a regular pentagon.Ī regular hexagon has 6 lines of symmetry. Each line of symmetry passes from each of the 5 corners, through the centre of the pentagon to the middle of the opposite side. ![]() In this case, the line of symmetry passes directly between the 2 diagonal sides.Ī regular pentagon has 5 lines of symmetry. This means that a trapezium only has a line of symmetry if both of its diagonal sides are the same length. Trapeziums have no lines of symmetry unless they are isosceles trapeziums which have 1 line of symmetry. This line of symmetry passes vertically down the centre of the kite. If we fold a parallelogram along its diagonals, it will not fold exactly in half without overlap.Įvery kite has one line of symmetry. This is because the diagonals of a parallelogram are not symmetrical. Here are the 2 lines of symmetry of a rhombus.Ī parallelogram has 0 lines of symmetry. These lines of symmetry pass through the diagonals of the rhombus, from each corner to the opposite corner. We can see that the diagonals of a rectangle are not lines of symmetry.Ī rhombus has 2 lines of symmetry. The diagonals of a rectangle are not lines of symmetry. There are no lines of symmetry passing through the diagonals of the rectangle. These lines pass from the middle of each side to the middle of the opposite side. There are a further 2 lines of symmetry passing through the middle of each side to the middle of the opposite side.Ī rectangle has 2 lines of symmetry. There are 2 lines of symmetry passing from each corner to the opposite corner. Scalene triangles have no equal sides and so, they have no lines of symmetry.Ī square has 4 lines of symmetry. Isosceles triangles have 1 line of symmetry, which is directly between the two equal sides and equal angles. For example, right-angled trapezoids or scalene triangles have no lines of symmetry.Įquilateral triangles have 3 lines of symmetry, which each pass through each corner to the middle of the opposite side. Any shape that contains sides that are all different lengths also has no lines of symmetry. Parallelograms are an example of a shape with no lines of symmetry. We can see a large range in the number of lines of symmetry that each shape has. Here is a list of shapes and the number of lines of symmetry: This a line of symmetry because the corners are equally far from each side of the line. Here is an example of measuring the distance of the corners on each side of the line of symmetry. The mirror can be moved around on the shape until the reflection matches up with the other half of the shape. Looking into the mirror, the reflection looks identical to the part of the shape directly in front of the mirror. Here is an example of using a mirror to find a line of symmetry. First, draw around the shape on the tracing paper, then fold it to find a line that divides it in half. Tracing paper can be used to find lines of symmetry. This is easier for checking if the outline is identical. It can be easier to cut the shape out first so that the outsides of the shape can be matched up. The rectangle can be folded in half so that each half looks identical. Here is an example of using folding to find a line of symmetry. ![]()
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