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Look at a shape and see if you can see that two halves mirror each other. To check, get a mirror and put it along this line. If the shape still looks the same using the mirror you have a line of symmetry. You can also trace half of the shape, turn the tracing paper over, put it on the other half of the shape and check it is the same.

Yes another way to do it is think REFLECTION. If they are exactly the same, you have a line of symmetry!

Q: How can you determine whether or not a polygon has symmetry?

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The answer depends on what information you do have.

an irregular polygon

No, a polygon can have fewer lines of symmetry.

A polygon need not have any axes of symmetry. It can have at most n axes where n is the number of sides that the polygon has.

Regular polygon Equilateral polygon Polygon with rotational symmetry

A scalene triangle has no axis of symmetry.

Number of lines of symmetry = Number of sides of the regular polygon

A regular Undegon (11 sided polygon) has 11 lines of symmetry. It also has an order of rotation symmetry of 11.

As the name suggests, they are polygons that have one or more lines of symmetry or rotational symmetry of order two or more. A symmetric polygon is not the same as a regular polygon.

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A polygon need not have any lines of symmetry. The maximum number of lines of symmetry is attained if the polygon is regular; and this is the number of sides (or vertices) of the polygon. If a regular polygon has an even number of sides, then the lines of symmetry are those joining opposite vertices, and those joining the mid-points of opposite sides. If the polygon has an odd number of sides/vertices, the lines of symmetry are those joining each vertex to the mid-point of the opposite side.