No.
Exactly one. No more, no less.
It is a 5 sided shape with the properties that any line segment between two vertices of the pentagon remain in the boundaries of that pentagon. It generalizes to polygons.
A polygon is formed by taking line segments and allowing them to cross or intersect. You must let each segment intersect exactly two others. The result is a polygon.
It is called a "side" (in polygons, these may be called edges, but this can cause confusion with the term as used in 3-dimensional solids).
I will prove a more general theorem from which your answer follows immediately. Theorem: The intersection of any number (including 2) of convex polygons is convex.ProofLet C be the intersection of Ci which is a set of iconvex polygons. By definition of intersection, if two points A and B belong to C then they belong to every one of the Ci . But the convexity of each of the Ci tells us that line segment AB is contained in Ci . Therefore, the line segment AB is in C and because ABwas arbitrary we conclude that C is convex
This is true.
true
This is false. The statement would be true for regular polygons, but not all polygons are regular.
No. Only regular polygons can be constructed from the same segment.
Polygons
So that the arcs constructed are at midpoint of the line segment to be bisected.
True
Exactly one. No more, no less.
That is a line segment that is "skewed up". It doesn't work right. It gets tossed in the heap that becomes other / lesser polygons and such and may even become a dreaded "circle".
This is the definition of a line segment. They are used in constructing two-dimensional polygons.
A) Midpoint Of A Line Segment B) Parallel Lines C) Angle Bisector D) Perpendicular Bisector
It is a 5 sided shape with the properties that any line segment between two vertices of the pentagon remain in the boundaries of that pentagon. It generalizes to polygons.