If a shape is a regular octagon with eight sides, which of the following must be true?Check all that apply.A.It has eight lines of symmetry.B.It has reflectional symmetry.C.It has exactly one line of symmetry.D.It is symmetrical.
Question
If a shape is a regular octagon with eight sides, which of the following must be true?Check all that apply.A.It has eight lines of symmetry.B.It has reflectional symmetry.C.It has exactly one line of symmetry.D.It is symmetrical.
Solution
A. It has eight lines of symmetry - This is true. A regular octagon has eight lines of symmetry, one for each side.
B. It has reflectional symmetry - This is true. A regular octagon has reflectional symmetry, meaning it can be folded along a line of symmetry and the two halves will match exactly.
C. It has exactly one line of symmetry - This is false. As mentioned above, a regular octagon has eight lines of symmetry, not just one.
D. It is symmetrical - This is true. A regular octagon is symmetrical, both in terms of reflectional symmetry (as mentioned above) and rotational symmetry (it can be rotated 360 degrees and still look the same at every stage).
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