Yes.
All regular polygons do.
yes
There would be too many to name. All regular polygons have a line of symmetry, but there are still polygons that don't.
No, not all shapes have the same rotational symmetry as their order. The order of rotational symmetry refers to the number of times a shape can be rotated around a central point and still look the same within one full rotation (360 degrees). While some shapes like regular polygons have rotational symmetry that corresponds directly to their number of sides, irregular shapes may have a different order of symmetry, or none at all.
almost all even number of sided polygons, regular has to be
All regular polygons do.
no
All of them have rotational symmetry because all the sides and angles have to be the same in order for the polygon to be a regular polygon
yes
An equilateral triangle, and all regular polygons with 3n sides.
true
false
There would be too many to name. All regular polygons have a line of symmetry, but there are still polygons that don't.
No, not all shapes have the same rotational symmetry as their order. The order of rotational symmetry refers to the number of times a shape can be rotated around a central point and still look the same within one full rotation (360 degrees). While some shapes like regular polygons have rotational symmetry that corresponds directly to their number of sides, irregular shapes may have a different order of symmetry, or none at all.
almost all even number of sided polygons, regular has to be
Lines of symmetry in polygons are not necessarily diagonals. A line of symmetry divides a shape into two identical halves, while a diagonal connects non-adjacent vertices of a polygon. In some cases, a diagonal can serve as a line of symmetry, but this is not true for all polygons. Therefore, while there can be overlap, the two concepts are distinct and not synonymous.
if all of the side are equal to each other, then it will have rotational symmetry. this means that if you stick a line through it and goes through the center, then it is a line of symmetry. the answer is infinity.