Question

Determine whether the regular hexagon has reflection symmetry, rotation symmetry, both, or neither. If it has reflection symmetry, state the number of axes of symmetry and draw all the symmetry lines. If it has rotation symmetry, state the angle of rotation. For each type of symmetry, explain how you can tell the figure does or does not have the given symmetry.

Answer 1

\(\large\color{ black}{\large {\bbox[5pt, white ,border:2px solid white ]{ \rm W}}}\)\(\large\color{ black}{\large {\bbox[5pt, white ,border:2px solid white ]{ \rm E}}}\)\(\large\color{ black}{\large {\bbox[5pt, white ,border:2px solid white ]{ \rm L}}}\)\(\large\color{ black}{\large {\bbox[5pt, white ,border:2px solid white ]{ \rm C}}}\)\(\large\color{ black}{\large {\bbox[5pt, white ,border:2px solid white ]{ \rm O}}}\)\(\large\color{ black}{\large {\bbox[5pt, white ,border:2px solid white ]{ \rm M}}}\)\(\large\color{ black}{\large {\bbox[5pt, white ,border:2px solid white ]{ \rm E}}}\)
\(\large\color{ black}{\large {\bbox[5pt, white ,border:2px solid white ]{ \rm T}}}\)\(\large\color{ black}{\large {\bbox[5pt, white ,border:2px solid white ]{ \rm O}}}\)
\(\large\color{ white}{\large {\bbox[5pt,#00c5ff ,border:2px solid white ]{ \rm O}}}\)\(\large\color{ white}{\large {\bbox[5pt,#00c5ff ,border:2px solid white ]{ \rm P}}}\)\(\large\color{ white}{\large {\bbox[5pt,#00c5ff ,border:2px solid white ]{ \rm E}}}\)\(\large\color{ white}{\large {\bbox[5pt,#00c5ff ,border:2px solid white ]{ \rm N}}}\)\(\large\color{ white}{\large {\bbox[5pt,#92dba2 ,border:2px solid white ]{ \rm S}}}\)\(\large\color{ white}{\large {\bbox[5pt,#92dba2 ,border:2px solid white ]{ \rm T}}}\)\(\large\color{ white}{\large {\bbox[5pt,#92dba2 ,border:2px solid white ]{ \rm U}}}\)\(\large\color{ white}{\large {\bbox[5pt,#92dba2 ,border:2px solid white ]{ \rm D}}}\)\(\large\color{ white}{\large {\bbox[5pt,#92dba2 ,border:2px solid white ]{ \rm Y}}}\)

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