If a shape is a regular hexagon with six sides, which of the following must be true?Check all that apply.A.It has exactly one line of symmetry.B.It has six lines of symmetry.C.It has reflectional symmetry.D.It has an unlimited number of lines of symmetry.
Question
If a shape is a regular hexagon with six sides, which of the following must be true?Check all that apply.A.It has exactly one line of symmetry.B.It has six lines of symmetry.C.It has reflectional symmetry.D.It has an unlimited number of lines of symmetry.
Solution
A regular hexagon has the following properties:
A. It does not have exactly one line of symmetry. This statement is false. A regular hexagon has more than one line of symmetry.
B. It has six lines of symmetry. This statement is true. A regular hexagon has six lines of symmetry, one for each pair of opposite vertices.
C. It has reflectional symmetry. This statement is true. A regular hexagon has reflectional symmetry, meaning it can be folded along a line of symmetry and the two halves will match exactly.
D. It does not have an unlimited number of lines of symmetry. This statement is false. A regular hexagon has a finite number of lines of symmetry, specifically six.
So, the correct answers are B and C.
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