Symmetry

Question 1

Which statement is true about the regular octagon?

Revolt · Accepted Answer

The regular octagon will map point A onto point E when rotated about point P 180°.

Question 2

Do all regular polygons have point symmetry? Explain.

Revolt · Accepted Answer

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

Question 3

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

Revolt · Accepted Answer

(–2, –6) and (1, –2)

Question 4

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

Revolt · Accepted Answer

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

Question 5

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.

Revolt · Accepted Answer

If a figure has point symmetry, it also must have rotational symmetry.; All parallelograms have point symmetry.; A triangle never has point symmetry.

Symmetry Answers

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