Symmetry Answers

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Do all regular polygons have point symmetry? Explain.

Yes, because all regular polygons have symmetry of order 2.

Yes, because all regular polygons have a center of rotation.

No, because all regular polygons do not have a line of reflection.

No, because all regular polygons do not have rotational symmetry of 180°.

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A quadrilateral with vertices (2, 6) and (–1, 2) has point symmetry about the origin. What are the other vertices of the quadrilateral?

(6, 2) and ( 2, –1)

(–2, 6) and (1, 2)

(–2, –6) and (1, –2)

(2, 6) and (–1, 2)

Which statement supports the claim that Rachel’s figure has point symmetry?

The figure has rotational symmetry of order 1.

The figure does not have any lines of reflection.

If the figure is rotated 180° about point P, it will map back onto itself.

The vertices of the 6-sided star are all points of symmetry that can be used to map the figure onto itself.

Which statements are true? Check all that apply.

If a figure has point symmetry, it also must have rotational symmetry.

If a figure has rotational symmetry, it also must have point symmetry.

If a figure has point symmetry, it also must have 4-fold reflectional symmetry.

All parallelograms have point symmetry.

A triangle never has point symmetry.

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