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  1. 4 Draw a line from each vertex through the center and check for line symmetry. 5 State the number of lines of symmetry. The equilateral triangle has 3 3 lines of symmetry. An equilateral triangle has 3 3 equal sides and 3 3 equal angles, so it will have 3 3 lines of symmetry.

    • which shape has a line symmetry with y and z = 1 and x1
    • which shape has a line symmetry with y and z = 1 and x2
    • which shape has a line symmetry with y and z = 1 and x3
    • which shape has a line symmetry with y and z = 1 and x4
  2. Horizontal Line of Symmetry :The symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry. Line of Symmetry in A to Z; 1) How Many line / lines of symmetry the given figure have ? Answer: The given figure have 1 line of symmetry. Types of lines of symmetry is Vertical ...

    • Lines of Symmetry of Triangles
    • Lines of Symmetry of A Square
    • Lines of Symmetry of A Rectangle
    • Lines of Symmetry of A Rhombus
    • Lines of Symmetry of A Parallelogram
    • Lines of Symmetry of A Kite
    • Lines of Symmetry on A Trapezium
    • Lines of Symmetry of A Pentagon
    • Lines of Symmetry of A Hexagon
    • Lines of Symmetry on An Octagon

    Equilateral triangles have 3 lines of symmetry, which each pass through each corner to the middle of the opposite side. Isosceles triangles have 1 line of symmetry, which is directly between the two equal sides and equal angles. Scalene triangles have no equal sides and so, they have no lines of symmetry.

    A square has 4 lines of symmetry. There are 2 lines of symmetry passing from each corner to the opposite corner. There are a further 2 lines of symmetry passing through the middle of each side to the middle of the opposite side.

    A rectangle has 2 lines of symmetry. These lines pass from the middle of each side to the middle of the opposite side. There are no lines of symmetry passing through the diagonals of the rectangle. The diagonals of a rectangle are not lines of symmetry. We can see that the diagonals of a rectangle are not lines of symmetry.

    A rhombus has 2 lines of symmetry. These lines of symmetry pass through the diagonals of the rhombus, from each corner to the opposite corner. Here are the 2 lines of symmetry of a rhombus.

    A parallelogram has 0 lines of symmetry. This is because the diagonals of a parallelogram are not symmetrical. If we fold a parallelogram along its diagonals, it will not fold exactly in half without overlap.

    Every kite has one line of symmetry. This line of symmetry passes vertically down the centre of the kite.

    Trapeziums have no lines of symmetry unless they are isosceles trapeziums which have 1 line of symmetry. This means that a trapezium only has a line of symmetry if both of its diagonal sides are the same length. In this case, the line of symmetry passes directly between the 2 diagonal sides.

    A regular pentagon has 5 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. Here are the 5 lines of symmetry shown on a regular pentagon.

    A regular hexagon has 6 lines of symmetry. 3 lines of symmetry pass from each of the corners to the opposite corner. The other 3 lines of symmetry pass from the middle of each side to the middle of the opposite side. Here are the lines of symmetry of a regular hexagon.

    A regular octagon has 8 lines of symmetry. 4 lines of symmetry pass from each of the corners to the opposite corner. The other 4 lines of symmetry pass from the middle of each side to the middle of the opposite side. Here are the lines of symmetry on a regular octagon.

  3. Example 3: using angles. Show that the hexagon below has no lines of symmetry. Locate the centre of the 2D shape. Show step. Draw a small x x in the centre of the hexagon (this does not have to be exact): Use a ruler to visualise a horizontal and/or vertical line of symmetry through the centre of the shape. Show step.

  4. Aug 3, 2023 · The line of symmetry is an imaginary line that divides a shape or an object into identical halves. It is also called the axis of symmetry or the mirror line since it divides the figure symmetrically. Number of Lines of Symmetry. The diagram below shows how a line of symmetry divides a shape into identical halves that are mirror images.

  5. A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts. We also call this line the axis of symmetry or mirror line because it divides the figure symmetrically, and the divided parts look like mirror reflections of each other. More line of symmetry examples are shown in the figure below.

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  7. Watch: What is symmetry? Symmetry is when one side of a shape is a mirror image of the other side. Lots of buildings and everyday objects use symmetry because it looks appealing to the human eye ...

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