pentagon
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A regular pentagon if your talking external walls, internal lines is a 5 pointed star.
There is no such shape. A 2d shape with 5 sides and all equal angles must be a regular pentagon (or a 5-pointed star if you stretch the definition of "all angles"). And a regular pentagon - or star - has 5 lines of symmetry.
No, vertices do not have to be pointed out. Vertices are the points where the edges of a shape or object meet. They can be sharp or rounded, depending on the shape or object.
5 sided shape is a pentagon.
pentagon