## Lines of Symmetry

Students will learn about lines of symmetry and how to distinguish between symmetrical and non-symmetrical objects. They will be able to:. Determine whether a figure is symmetrical. Draw lines on a figure and finish a drawing over a line of symmetry.

**Identifying Symmetrical Figures**

A figure is symmetrical if both sides of it can be split exactly in half and each side matches the other completely. But how do you know when a figure isn’t symmetrical?

**Drawing Lines of Symmetry**

A line of symmetry divides a figure in half, making each half identical. Different types of figures can have different numbers of lines of symmetry; for example, a rectangle cannot have a diagonal line of symmetry like a square because the sides are not the same length.

**Creating Symmetrical Figures**

Start with a point on one side and draw the same thing on the other side to complete a drawing over a line of symmetry. Figure A is the original drawing, and figure B is drawn to be a symmetrical or identical part.

**Examples**

The diagram below depicts the number of symmetry lines that various types of shapes have.

**Symmetry In Your Life (Activities)**

Identify lines of symmetry on your bed, TV, video game system, computer, and closet door. Create a symmetrical figure on either side of a line of symmetry using boxes or containers from the kitchen cupboards.

## What is a line of symmetry in math?

A line of symmetry is a line that cuts a shape in half exactly, which means that if you fold it along the line, both halves will match exactly, and if you place a mirror along the line, the shape will remain unchanged. A square has four lines of symmetry, as shown below.

## How should we draw a line of symmetry give two examples?

Another good example is to imagine cutting an equilateral triangle into two equal halves; the two triangles formed after the intersection are right-angled triangles. Other examples of line symmetry include square, rectangle, and circle.

## How many lines of symmetry can you draw through these figures?

The circle has two lines of symmetry because there are two lines drawn in the figure; each regular polygon (equilateral triangle, square, rhombus, regular pentagon, regular hexagon, etc.) has two lines of symmetry.

## What are the 4 types of symmetry?

Translation, rotation, reflection, and glide reflection are the four main types of symmetry.

## What shape has only one line of symmetry?

Trapeziums have rotational symmetry of order one, and some trapeziums have only one line of symmetry, known as isosceles trapeziums, because they have two sides of equal length, as is the case with isosceles triangles.

## What is the another name of line of symmetry?

The mirror line or axis of symmetry is another name for the line of symmetry.

## Which figure has no line of symmetry?

Shapes with no line of symmetry include the scalene triangle, parallelogram, and trapezium.

## What is symmetry with example?

In general, symmetry refers to mirror or reflective symmetry, which means that a line (in 2-D) or plane (in 3-D) can be drawn through an object to make the two halves mirror images of each other, as in an isosceles triangle or a human face.

## How do you make a symmetrical?

Take a photograph of a face and draw a vertical line through the center of the nose to make a line of symmetry. Cut the image down this line. Attach a white sheet of paper to the image to draw the other side of the face.

## How do you make something symmetrical?

Objects that are symmetrical are drawn in a symmetrical manner.

- Look at the objects below
- the first half has already been drawn.
- Choose from the pictures provided.
- Note where the object’s lines are straight and where they curve.
- Draw the second side of the object to mirror the first side.

## What is symmetry art?

Asymmetrical balance (or Asymmetry) means that the two halves of the work of art are different, but try to create balance. Symmetrical balance (or Symmetry) means that the work of art is the same on one side as the other, a mirror image of itself, on both sides of a center line.

## What shape has the most lines of symmetry?

Because a circle can be folded to any diameter, it has an infinite number of symmetry lines.

## How many lines of symmetry does a 6 point star?

The 6-pointed star has 6 lines of symmetry. The 5-pointed star has 5 lines of symmetry.

## Why does a rectangle not have 4 lines of symmetry?

Number of Symmetry Lines in a Rectangle = 2 It should be noted that the diagonals are not the lines of symmetry for a rectangle; this is because if a rectangle is cut along its diagonals, the sides will not superimpose perfectly.