No, and neither does a triangle.
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Vertices are on a shape when two sides meet up and create a corner. For example, a square has 4 vertices, a tringle has 3 vertices, a circle has no vertices. (singular is 'vertex').
Every polygon that is not a triabgle (3 vertices), quadrilateral (4 vertices) or pentagon (5 vertices) has more than 5 vertices.
It has 5 vertices and 5 sides
5 vertices
A triangular pyramid has 4 vertices. A retangular and square pyramid has 5 vertices. A pentagonal pyramid has 6 vertices. A hexagonal pyramid has 7 vertices.