Q: Can a plane shape have more sides than vertices?

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a shape with 7 vertices

A shape with four sides has more vertices because there are more points where edges (straight lines) meet than a 3-sided shape.

A 4 sided shape has 4 vertices whereas a 3 sided shape has 3 vertices.

any closed shape with 4 sides or more sides. The question does not specify only four vertices!

The number of vertices does not determine the number of faces. If the shape with 6 vertices was a quadrilateral based bipyramid, it would have 8 faces. A hexagonal based pyramid has 7 vertices and 7 faces. So more vertices does not necessarily imply more faces.

Related questions

A shape with four sides has four vertices and a shape with three sides has three vertices, so a shape with four sides has more vertices than a shape with three sides.

A shape with 7 sides.

a shape with 7 vertices

A shape with four sides has more vertices because there are more points where edges (straight lines) meet than a 3-sided shape.

A 4 sided shape which is a quadrilateral has more vertices than a 3 sided shape which is a triangle

Assuming that each vertex is used to connect exactly two sides, all two-dimensional shapes will have the same number of sides as vertices. So a shape with 4 sides will have 4 vertices and a shape with 3 sides will have 3 vertices. Think of a square (4 sides, 4 vertices) and a triangle (3 sides, 3 vertices).

A 4 sided shape has 4 vertices whereas a 3 sided shape has 3 vertices.

Shape has fewer than 6 sides

any closed shape with 4 sides or more sides. The question does not specify only four vertices!

The number of vertices does not determine the number of faces. If the shape with 6 vertices was a quadrilateral based bipyramid, it would have 8 faces. A hexagonal based pyramid has 7 vertices and 7 faces. So more vertices does not necessarily imply more faces.

A polygon may have many more than four sides, a triangle has only three vertices.

Polygons of 6 or more sides have more than 5 vertices such as an octagon which has 8 vertices