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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.

  2. 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.

  3. An Equilateral Triangle (3 sides) has 3 Lines of Symmetry. A Square (4 sides) has 4 Lines of Symmetry. A Regular Pentagon (5 sides) has 5 Lines of Symmetry. A Regular Hexagon (6 sides) has 6 Lines of Symmetry. A Regular Heptagon (7 sides)

  4. 2.6 Line symmetry. Look at the shapes below. The symmetry of the shape on the left and its relationship to the shape on the right can be thought of in two ways: Fold the left-hand shape along the central line. Then one side lies exactly on top of the other, and gives the shape on the right. Imagine a mirror placed along the central dotted line.

    • What Is A Line of Symmetry
    • Types of Lines of Symmetry
    • Number of Lines of Symmetry
    • Symmetry in The Coordinate Plane
    • Mathematics of Symmetry
    • Symmetric and Asymmetric

    A line of symmetry is defined as an imaginary line that divides an object into two identical (symmetrical) halves. Another way to think about this is: if a figure can be folded over a line such that each half perfectly overlaps, the line is a line of symmetry. In the above figure, folding the left half of the square over the red dotted line results...

    Generally, there are a few different types of lines of symmetry: vertical, horizontal, and diagonal.

    An object can have multiple lines of symmetry. If an object has multiple lines of symmetry, all the lines of symmetry intersect at the center of the object. Consider the following two-dimensionalshapes.

    In the coordinate plane, the graph of an equation can have symmetry about the x-, y-axis, or some other line.

    Mathematically, a line of symmetry is a line of reflectionthat maps any point on the figure back to the figure. The line that cuts through the major axis of the ellipseabove is a line of symmetry. When A and B are reflected across it, they are mapped to A' and B', also on the ellipse. This is true for any point on the ellipse. Not all lines of refl...

    Symmetric- A symmetric figure has at least one line that divides the figure into two identical parts such that reflecting half of the figure across the line will result in the reflected half perfec...
    Asymmetric- An asymmetric figure is a figure in which no line can be drawn such that it divides the figure into mirror images.
  5. Example 2: a rectangle (lines of symmetry) Locate the center of the 2D shape. Show step. Draw a small x x in the center of the square (this does not have to be exact). This is also known as the central point of the shape. Draw a horizontal and/or vertical line of symmetry through the center of the shape. Show step.

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  7. An isosceles trapezium has two parallel sides and two non-parallel sides of equal length it has only one line of symmetry along the line segment joining the midpoints of the two parallel sides. A trapezium is a four-sided, two-dimensional shape having two of its sides parallel to each other.

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