# What are the lines of symmetry in a regular hexagon?

## What are the lines of symmetry in a regular hexagon?

All internal angles are 120 degrees. A regular hexagon has six rotational symmetries (rotational symmetry of order six) and six reflection symmetries (six lines of symmetry), making up the dihedral group D6.

## How do you find the line of symmetry of a hexagon?

A regular hexagon with six equal sides has six lines of symmetry. For all regular polygons, the number of lines of symmetry is equal to the number of sides. That is an equilateral triangle has 3 lines of symmetry, a square has 4 lines of symmetry, similarly a regular hexagon has 6 lines of symmetry. The answer is 6.

How do you draw symmetry lines?

To draw a line of symmetry, look for two halves of this W that are mirror images of each other. Then, draw the line of symmetry between these halves. The right half of W is the mirror image of the left half. So, the vertical line that passes through the middle of W is a line of symmetry.

### How many lines of symmetry are there in a regular pentagon?

5 lines of symmetry
Line symmetry in regular polygons A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.

### Why does a hexagon have 6 lines of symmetry?

A hexagon has 6 sides. We cannot tell exactly how many lines of symmetry a hexagon has. But for a regular hexagon (all sides are equal in length) there are 6 lines of symmetry. A regular hexagon with six equal sides has six lines of symmetry.

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

One more good example is to imagine if we cut an equilateral triangle into two equal halves, then the two triangles formed after the intersection is the right-angled triangles. Few more examples such as square, rectangle, circle, can also be considered for line symmetry.

## What does draw the lines of symmetry mean?

A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly.

## How many lines of symmetry are there in a hexagon?

A regular hexagon has 6 lines of symmetry. The axis of symmetry is a line that divides a shape into two halves, creating a mirror image of either side of the halves. Symmetry is applicable in geometry as well. Have a look at the image given below.

How do you draw six points on a hexagon?

The six places where your marks cross the edge of the circle are the six points of your hexagon. Use your ruler and a pencil to draw a straight line segment that connects the adjacent dots. Erase your guiding lines.

### How many lines of symmetry are there in a pentagon?

Line of Symmetry in a Regular Pentagon: A regular pentagon has 5 equal sides, and each of its angles measures 108 ∘. A regular pentagon has 5 lines of symmetry. Line of Symmetry in a Regular Hexagon: A regular hexagon is defined as a hexagon that is both equilateral and equiangular.

### How is a regular hexagon divided into six triangles?

The reason being, a regular hexagon can be divided into six equilateral triangles by drawing straight lines between opposite corners. These lines are the diameter of the circle that touches the corners of the hexagon, and also twice the length of a triangle side.