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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?
Wiki User
∙ 12y ago
convex
Wiki User
∙ 12y ago
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The point of intersection of two sides of polygon is called?
A vertex
What is the extreme point of a parabola?
The extreme point it the highest or lowest point of the parabola (depending if it is concave downwards or upwards). It is the point of the parabola tat is closest to the focus. the extreme point lies on the axis of symmetry.
How come not all regular polygons will tessellate?
In a tessellation a number of polygons meet at a point. If n polygons meet, then there will be n vertices. These must add up to 360 degrees so that the tessellation does not leave holes. So the interior angles of the polygon must be a factor of 360 degrees. Interior angle of an equilateral triangle = 60 deg = 360/6 and so it will tessellate; Interior angle of a square = 90 deg = 360/4 and so it will tessellate; Interior angle of a regular pentagon = 108 deg which is not a factor of 360 and so it will not tessellate; etc.
A polygon that has 1000 sides?
On etymological grounds I would be tempted to call a 1000 sided polygon a myriagon. I will also point out that for most purposes we would call it a circle, since with that many sides it very closely approaches circularity.
Which quadrant contains the point named 25?
If you mean point (2, 5) then it is in the 1st quadrant on the Cartesian plane
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
If a line that contains a side of a polygon also contains a point inside the polygon this polygon is this?
It is concave.
What is a polygon that caves in at some point?
concave
Why is a star polygon concave?
because the point of origin would be on an outer point and around it the walls seem to cave in making it seem concave, in comparison to a regular polygon. When checking for concave polygons always compare what you are looking at to a regular polygon
How can the differences between a concave and a convex polygon be described?
In a concave polygon a figure has an inverted point. This means all of the exterior angles do no = 360 and the interior angles do not follow the rule (number of sides - 2)180 to get the interior angle sum. Which is all important to geometry. To find out if a polygon is convex or concave take an imaginary rubber band and stretch it around the polygon. If it does not fit snugly then the polygon is concave. For instance if you had a giant square the rubber band would touch all four vertexes and have no gaps. A giant four sided V thought would have a gap between the two tips of the V and prove it was concave.
Is a kind of quadrilateral one of whose angles has an interior point which is not in the interior of the quadrilaterals?
A concave quadrilateral
A Polygon is a if no diagonal contains point in the exterior?
a convex polygon
What is a concave pentagon?
It is a five sided polygon. At least one interior angle is greater than 180 degrees. This causes some of the vertices of the pentagon to point in toward the center. An alternate definition is there exists a line that will cut the polygon in 4 or more places.
What is the difference between a regular polygon and a concave polygon?
A regular polygon has all its sides equal and all its angles equal. One consequence is that no angle can be reflex (between 180 and 360 degrees). A concave polygon, on the other hand, must have at least one angle that is a reflex angle. The line joining any two points inside any convex polygon (and that includes regular ones) must lie wholly within the polygon. In a concave polygon, it must be possible to find two point inside the polygon such that the line joining them crosses the boundaries of the 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.
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.
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.
