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Triangle, quadrilateral or hexagon.

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Triangle, quadrilateral or hexagon.

Q: Which regular polygon could actually fit around a point leaving no gaps?

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what is the name of a smooth curved line around the outside of a regular polygon

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

circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.

He will have skated a full turn of 360 degrees

A tessellation made up of two or more regular polygons is referred to as a semi-regular tessellation. The eight semi-regular tessellations are known as:3.3.3.3.6, 3.3.3.4.4, 3.3.4.3.4, 3.4.6.43.6.3.6, 3.12.12, 4.6.12, 4.8.8.The numbers refer to the number of sides of polygons around each vertex, starting with the polygon with the fewest number of sides.

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what is the name of a smooth curved line around the outside of a regular polygon

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

Yes, because if a regular polygon is turned around a specific point (the angle of rotation) and matches up again, it has rotation symmetry. For example, a hexagon is a regular polygon with six sides. All sides are the same length and the same size. When you turn it around the angle of rotation, it matches with the next side. Therefore, all regular polygons have rotational symmetry. Hope this helps!

circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.

He will have skated a full turn of 360 degrees

Such a polygon is not possible because it would have 4.8 sides.Angles on a straight line are 180 degrees and 105+75 = 180Angles around a polygon are 360 degrees and 360/75 = 4.8

I don't know please try again.

The distance around a polygon is the length of its perimeter.

A tessellation made up of two or more regular polygons is referred to as a semi-regular tessellation. The eight semi-regular tessellations are known as:3.3.3.3.6, 3.3.3.4.4, 3.3.4.3.4, 3.4.6.43.6.3.6, 3.12.12, 4.6.12, 4.8.8.The numbers refer to the number of sides of polygons around each vertex, starting with the polygon with the fewest number of sides.

A regular polygon has several properties: All sides are equal in length. All angles are equal in measure. The sum of the interior angles is (n-2)180 degrees, where n is the number of sides. The sum of the exterior angles is 360 degrees. The diagonals, which are line segments connecting non-adjacent vertices, are congruent in length. The polygon has rotational symmetry, which means it can be rotated by a certain angle around its center to coincide with its original position.

A polygon is a closed shape bounded by only straight lines. The distance around a polygon is called the Perimeter The actual distance of the polygon depends on the shape. See related links below for a website I believe will help you.

the perimeter. the space inside is the area