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Is a pentagon convex?
A regular pentagon is convex. By taking a regular pentagon and shortening or lengthening one or more sides, an infinite number of possible convex pentagons can be created. A convex polygon is defined as a polygon such that all internal angles are less than or equal to 180 degrees, and a line segment drawn between any two vertices remains inside the polygon. It is possible to have non-convex (concave) pentagons; there are infinite number possible ways to do this, too.
Does there exist a simple graph with 7 vertices having degrees 1 3 3 4 5 6 6?
No. Since the graph is simple, none of the vertices connect to themselves - that is, there are no arcs that loop back on themselves. Then the two vertices with degree 6 must connect to all the other vertices. Therefore there can be no vertex with less than two arcs [ to these two vertices]. So a vertex with degree 1 cannot be part of the graph.
What shape has 3 sides and 2 angles?
No polygon can have less than 3 angles. It would be a triangle with 3 sides but that has 3 angles.
Differentiate convex and non convex polygon?
A convex polygon is one with no angle greater than 180 degrees. A non-convex polygon is one that is not without such an angle.
How many more vertices does a quadrilateral have than a triangle?
zero. 0
Can a polygon have less than three vertices?
No, a polygon cannot have less than three vertices. By definition, a polygon is a closed figure formed by connecting three or more straight line segments. A shape with fewer than three vertices would not enclose any area and would not meet the criteria of a polygon.
Which polygon has less than 4 vertices?
A triangle has three vertices.
Which polygon has more than 5 vertices?
Every polygon that is not a triabgle (3 vertices), quadrilateral (4 vertices) or pentagon (5 vertices) has more than 5 vertices.
How many curved edges in convex polygon?
None.A polygon is made up of straight line edges between its vertices. There are the same number of edges as vertices in a polygon.In the case of a polygon, it is convex if all interior angles are less than 180o.
What is the minimum number of triangles required to triangulate an hendecagon?
9 (two less than the number of vertices in the polygon).
Does a polygon have more vertices than sides?
no
How many diagonals can be drawn from one vertex of a 12 sided polygon?
10 ... any polygon it is 2 less than the number of sides or vertices wince they are the same.
Which polygon has more sides than a square and fewer vertices than a heptagon?
The polygon that has more sides than a square (which has 4 sides) and fewer vertices than a heptagon (which has 7 vertices) is a pentagon. A pentagon has 5 sides and 5 vertices, fitting the criteria perfectly. Thus, the answer is a pentagon.
What is a polygon with 2 more vertices than a quadrilateral?
square
What is apolygon that is convex?
A convex polygon is defined as a polygon with all its interior angles less than 180°. This means that all the vertices of the polygon will point outwards, away from the interior of the shape. Think of it as a 'bulging' polygon. A triangle (3-gon) is always convex.
Is A polygon in which every line segment connecting any two vertices lies entirely inside the polygon?
Yes, a polygon in which every line segment connecting any two vertices lies entirely inside the polygon is called a convex polygon. In a convex polygon, all interior angles are less than 180 degrees, ensuring that any line segment between two points does not extend outside the shape. Conversely, if any line segment between two vertices lies outside the polygon, it is classified as a concave polygon.
What has more than 4 equal corner?
Any regular polygon with more than 4 sides with have all its corners (vertices) equal. Furthermore, an irregrular polygon with more than four sides can always have four equal vertices.
