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Example 1: regular shapes. How many lines of symmetry does the equilateral triangle have? Locate the center of the 2D shape. 2 Draw a vertical line through the center and check for line symmetry. The vertical line through the center is a line of symmetry dividing the triangle into two equal halves that are mirror images of each other.
- Symmetry
Example 2: a rectangle (lines of symmetry) Locate the center...
- Symmetry
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.
- What Is A Line of symmetry?
- Symmetric and Asymmetric Figures
- Types of Lines of Symmetry
- Number of Lines of Symmetry in A Shape
- Line of Symmetry in Geometry
- Solved Examples on Line of Symmetry
- Conclusion
In mathematics, an object is said to have symmetry if it can be divided into two identical halves. The line that divides the object into its identical halves is called the line of symmetry. For example, in the given image, the line passing through the middle of the flower is its line of symmetry.
A figure or shape that can be divided into two equal parts by a line is called symmetric figures. The shapes and objects that are irregular and do not resemble each other when divided into two parts are called asymmetric figures.
The line of symmetry can be categorized based on the basis of its orientation. Horizontal Line of Symmetry: If a horizontalline divides an object into two identical halves, it is called a horizontal line of symmetry. That means the horizontal line of symmetry goes from left to right (or vice versa) in an object. Vertical Line of Symmetry: If a vert...
The line of symmetry produces reflections that coincide. A shape or an object can have multiple lines of symmetry as per its structure. Shapes with one line of symmetry have only one line that divides them into identical parts. Shapes with multiple lines of symmetry have more thanone line that divides them equally. The axis of symmetry can be horiz...
Axis of symmetry in common two-dimensional geometrical shapes are given below: Geometric shapescan have more than one line of symmetry. Let us study some geometric shapes with one and multiple axes of symmetry.
Example 1: How many lines of symmetry do the given figure have? Solution: The given figure only has one line of symmetry. Example 2: Identify whether the given line of symmetry is a vertical, horizontal, or diagonal line of symmetry. Solution:The given line is a vertical line of symmetry. Example 3: Write three capital letters in the English alphab...
Lines of symmetry can help children understand and create patterns. It teaches a sense of balance and order and opens them up to the natural world where symmetry abounds—insects, seashells, and leaves, to name a few. Learn more mathematical concepts on SplashLearn, the game-based learning platform equipped with interactive games and fun worksheets.
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.
The symmetry of a Circle. Examples of Symmetry in Real Life. Line of Symmetry of English alphabets. The symmetry of the capital alphabet " A ". The symmetry of the capital alphabet " B ". The symmetry of the capital alphabet " C ". The symmetry of the capital alphabet " D ". The symmetry of the capital alphabet " E ".
4 Lines Symmetry Four lines of symmetry can be seen in a square, that has all the sides equal. Infinite lines. Some figures have not one or two, but infinite lines passing through the centre, and the figure is still symmetrical. Example: a circle. Lines of Symmetry for Different Shapes. Learn below the number of lines of symmetry for different ...
People also ask
How do you draw a triangle with symmetry?
How do you draw a rectangle with 2 lines of symmetry?
How do you draw lines of symmetry?
How do you know if a 2D shape is symmetrical?
How many lines of symmetry does a square have?
How do you draw a 2D shape?
A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other. You would call this the line of symmetry . If you put a mirror on this line, you would see ...
