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(a)does the figure have reflectional symmetry? if so, give the n-fold number of the symmetry. (b)does the figure have rotational symmetry? if so, give the order and angle measure of the rotation.

adoes the figure have reflectional symmetry if so give the nfold number of the symmetry bdoes the figure have rotational symmetry if so give the order and angle class=

Respuesta :

(b) A figure is said to have an n-fold rotational symmetry if rotating through an angle of 360° / n does not change the figure.

In the case of the given figure, rotation through 180° does not change the figure.

Therefore,

[tex]\frac{360^o}{n}=\frac{180^o}{1}[/tex]

Cross-multiplying, we have

[tex]\begin{gathered} 180^on=360^o \\ \text{ Dividing both sides by 180, we have} \\ n=\frac{360^o}{180^o}=2 \end{gathered}[/tex]

Hence, the order of rotation is 2 and the angle is 180°

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