This is hard to answer considering we can't see the polygon below...
What is the correct letter name for below
B. Octagon
It could be a diagonal line of a polygon with more than 3 sides
the circle is inscribed in the polygon
A solid with a regular polygon for each face is known as a perfect solid.
It is not possible to name each polygon since there are infinitely many of them. There is no relationship between whether a polygon is regular and the number of sides or angles that it has. So, there is no way to determine, from its name, if a polygon is regular.
the circle is inscribed in the polygon :]
That is correct. For example, a hexagon is a 6 sided shape with each side equal length, an each interior angle 60°. ■
There is no specific name for such shapes.
A square is a type of rectangle. A rectangle is a type of polygon. Polygons are just 2D shapes with more than three straight sides, where there are no open ends or lines crossing over each other. Triangle and up, basically.
An angle is formed at each vertex of a polygon.
It could be a diagonal line of a polygon with more than 3 sides
2d shapes are circles, ellipses, polygons (triangles, quadrilaterals, pentagons, etc.), angles, other non polygon shapes (like when you draw a star and the lines cross over each other. 3d shapes are shapes with added depth, such as tetrahedron, pyramid, prism (such as a cube), sphere (a ball), cone, etc.
All regular polygons (in order of sides starting with 3 sides): triangle, square, pentagon, hexagon, octagon, nonagon, decagon, hendecagon, dodecagon, tridecagon, tetradecagon, pentradecogon, hexadecagon, octadecagon, enneadecagon, icosagon (twenty sides).2d shapes are shapes that can be drawn on a paper, like lines, triangles, squares, rectangles, circles, etc. Some of these shapes are called polygons, and there are countless numbers of them with their names based on the Greek word for the number of sides on each shape. All sides are exactly the same as each other on regular polygons; one or more sides are different from the other sides on irregular polygons. A few of the polygon names, with the name following the number of sides on the 2d shape are:3 triangle4 quadrilateral (a regular quadrilateral is a square)5 pentagon6 hexagon10 decagon12 dodecagon20 Icosagon90 enneacontagonAfter about 10 sides mathematicians usually refer to polygons as n-gons; a 12 sided polygon (dodecagon) could also be called a 12-gon.In addition to polygons, there are circles, ovals, parabolas, and many other shapes that do not have straight sides.
draw an example of each polygon
Each face of a polyhedron must be a polygon: a flat surface bounded by straight lines. So, if any of the faces is curved, the shape is not a polyhedron.
All triangles and regular polygons such as squares, parallelograms, trapezoids, and rectangles are convex because each of their interior angles is less than 180o.
the circle is inscribed in the polygon
A solid with a regular polygon for each face is known as a perfect solid.