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Q: Can a polygon have a straight line that extends off a straight side?
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What is a polygon that has one side called?

There isn't such thing as a one sided polygon. The definition of a polygon is a closed figure with straight lines. So technically it is just a line.


A line segment that joins two vertices of a polygon but is not a side of the polygon?

………………………… is a line segment that joins two vertexof a polygon but is not a side of the polygon.


How are the side lengths 30 60 90 related?

They can only form a straight line, not a polygon of any sort. The straight line can be 90, 120, 150 or 180 units long.


What does side mean in mathematical terms?

A side is usually a straight line that forms a boundary of a polygon. Occasionally, the term is also used for a curved boundary.


What is convex and given an example?

A convex polygon is a polygon such that no side extended cuts any other side or vertex; it can be cut by a straight line in at most two points Example: A square is a convex polygon, as is an eqilateral triangle. A star shaped polygon is NOT convex. More generally, In Euclidean space, objects are convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object.


Why is the polygons start from 3 side shapes?

Not sure of the formal proof, but consider: Suppose you can have a polygon with 2 sides. Start with one 'vertex' and connect to the second 'vertex' with a straight line segment - that's one side. Now for the second side, connect a straight line segment from the second vertex back to the first vertex. This will be the same line segment that you just drew. Try drawing a polygon with 1, or 0 sides, as well. You cannot do it. "Polygon" comes from Greek for "many corners".


A polygon for which there is a line containing a side of the polygon that also contains a point in the interior of the polygon?

concave polygon


Is a concave polygon a polygon for which there is no line that contains both a side of the polygon and a point in the interior of the polygon?

convex


What is formed by one side of a polygon and a line from the adjacent side?

An interior or exterior angle of the polygon.


Is a diagonal always a side of a polygon?

No, a diagonal is never a side of a polygon:A diagonal is a line between two non-adjacent vertices of a polygon;A side is a line between two adjacent vertices of a polygon.


A polygon has the property that there is a line which contains a side of the polygon and passes through the interior of the polygon?

Concave


If a line that contains a side of a polygon also contains a point inside the polygon this polygon is this?

It is concave.