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concave polygon

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โˆ™ 2012-10-23 01:32:40
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Q: 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?
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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?


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

It is concave.

A Polygon is a if no diagonal contains point in the exterior?

a convex polygon

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.

If the given point is inside the polygon?

Then the point is not outside the polygon...?

Is a rectangular solid a polygon?

A rectangular solid is a polygon, as it is a four-sided, six face object. In two dimensions, it will remain a polygon with intersecting lines at the interior, with no line exceeding the boudary of the edge of the object from any point of view.

Why do you subtract 2 from n to find the sum of interior angles?

This has to do with the way in which the sum of the angles is derived. First you select a point inside the polygon and then join that point to each of the vertices. For a polygon with n sides, this gives rise to n triangles. The sum of the 3 angles of any triangle is 180 degrees. So the sum of the angles of all the triangles is n*180 degrees. Now, the "outer" angles of these triangles correspond to the interior angles of the polygon. But the sum also includes the angles formed arounf the central point. The sum of all the angles around this central point is 360 degrees. This is not part of the sum of the interior angles of the polygon and so must be subtracted. Thus, the interior angles of a polygon sum to n*180 - 360 degrees or 180*(n- 2) degrees.

What is the total interior angle of a point?

A point has no interior and so cannot have interior angles.

Is interior angle angle sum?

No. An interior angle is one of many angles in the interior of a closed shape - usually a polygon. The angle sum is the sum of the values of a specified list of angles. They may be angles around a point, angles in one or more shapes.

A point where two sides of a polygon meet is called?


What is the difference between a point and a polygon?

A point and most of the time meets, a polygon is a circle thing that meets at some point!

What is the center of a regular polygon?

the point that is equidistant from all vertices of a polygon.

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