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Does a figure have to be a polygon to have rotational or line symmetry

2 Answers

2 votes

asically, a line of symmetry is a line that divides a figure into two mirror images.

The figure is mapped onto itself by a reflection in this line.

def

A set of points has line symmetry if and only if there is a line, l, such that the reflection through l of each point in the set is also a point in the set. (May also be referred to as reflectional symmetry.)

sympicyellow

Certain figures can be mapped onto themselves by a reflection in their lines of symmetry. Some figures have one or more lines of symmetry, while other figures have no lines of symmetry.

(Remember, if you fold the figure on a line of symmetry, the folded sides coincide.)

Lines of Symmetry:

User Rezoan
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The diagonal line is NOT a line of symmetry. ... In regular polygons (where all sides are congruent and all angles are congruent), the number of lines of symmetry equals the number of sides

User GeorgieF
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