Which of the following Figures Is Not a Polygon?

Author Donald Gianassi

Posted Jul 22, 2022

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There are a few different shapes that are not polygonal. A polygon is defined as a closed figure with straight sides. This means that figures such as circles, ellipses, and even some irregular shapes are not considered polygons. Of the figures listed, the one that is not a polygon is the circle. This is because a circle is defined as a set of points on a plane that are equidistant from a given point, called the center. A circle does not have straight sides, and therefore it is not a polygon.

What is a polygon?

A polygon is a closed figure consisting of a finite number of line segments. The line segments are called sides, and the points where they meet are called vertices or corners. The word polygon comes from the Greek polygonum, which means "many angles."

A regular polygon is a polygon that has all sides of equal length and all angles of equal size. The most familiar regular polygons are the triangle, the square, and the hexagon. A polygon that is not regular is called irregular.

The perimeter of a polygon is the length of the path around the outside of the polygon. The perimeter of a regular polygon can be found by multiplying the length of one side by the number of sides.

The area of a polygon is the amount of space inside the polygon. The area of a regular polygon can be found by multiplying the length of one side by the length of the apothem and then dividing by 2. (The apothem is a line segment that runs from the midpoint of one side of a polygon to the center of the polygon. It is perpendicular to the side.)

There are many different types of polygons, and they can be classified in a variety of ways. One way to classify polygons is by the number of sides they have. A triangle has 3 sides, a quadrilateral has 4 sides, and so on.

Another way to classify polygons is by the number of angles they have. An acute polygon has all angles less than 90 degrees. An obtuse polygon has one angle that is greater than 90 degrees. A right polygon has one angle that is exactly 90 degrees.

A convex polygon is a polygon such that no line segment between two points inside the polygon lies outside the polygon. An example of a convex polygon is a triangle. A non-convex polygon is a polygon such that one or more line segments between two points inside the polygon lie outside the polygon. An example of a non-convex polygon is a pentagon.

A regular polygon is a convex polygon with all sides of equal length and all angles of equal size. An irregular polygon is a polygon that is not regular.

A polygon is a closed figure consisting of a finite number of line segments. The line

What are the properties of a polygon?

There are many different types of polygons, but they all have certain properties in common. All polygons are made up of straight lines, and they are closed figures (meaning that the lines connect at the vertices, or corners). The sides of a polygon never cross, so each side is adjacent to only two other sides.

The simplest type of polygon is the triangle. Triangles have three sides and three vertices. The length of each side can be different, but the sum of the lengths of the two shorter sides must be greater than the length of the longest side. This is called the triangle inequality. All triangles also have a center point, called the centroid.

Quadrilaterals are polygons with four sides. The most common type of quadrilateral is the rectangle, which has two pairs of parallel sides. Rectangles also have a centroid, but unlike triangles, their sides do not have to be different lengths. A square is a special type of rectangle in which all four sides are the same length.

Polygons with more than four sides are called pentagons (5 sides), hexagons (6 sides), heptagons (7 sides), octagons (8 sides), nonagons (9 sides), and decagons (10 sides). These polygons can have different shapes, but they all have these properties in common:

-The sum of the angles is always 360 degrees.

-The sides are straight lines.

-The figure is closed (the sides connect at the vertices).

-The sides never cross.

-Each side is adjacent to only two other sides.

What is the difference between a polygon and a non-polygon?

A polygon is a closed, two-dimensional geometric figure whose sides are line segments. In other words, a polygon is a closed figure that is made up of points connected by line segments. A non-polygon, on the other hand, is any figure that is not a polygon. This includes figures that are open, two-dimensional, three-dimensional, or even four-dimensional.

What are some examples of polygons?

A polygon is a closed plane figure that is made up of a finite number of straight line segments. The word "polygon" comes from the Greek word for "many angles". The most familiar polygons are the triangle, the rectangle, and the square.

There are an infinite number of polygons, but they can be classified into three general types: those with no parallel sides (such as the triangle), those with two parallel sides (such as the rectangle), and those with more than two parallel sides (such as the hexagon). There are also special types of polygons, such as the equilateral triangle and the square, which have all sides of equal length.

The simplest polygon is the triangle, which is made up of three straight sides. A triangle can be classified according to the length of its sides (as an equilateral, isosceles, or scalene triangle) or according to the angles between its sides (as an acute, right, or obtuse triangle).

The rectangle is a four-sided polygon with two pairs of parallel sides. The sides of a rectangle are all of equal length if it is a square.

The pentagon is a five-sided polygon with only one pair of parallel sides.

The hexagon is a six-sided polygon with two pairs of parallel sides.

There are many other polygons with more than six sides, but they are generally not given special names.

What are some examples of figures that are not polygons?

A figure is not a polygon if it does not have straight sides. For example, a circle is not a polygon because it has no straight sides. An oval is not a polygon because it has curved sides. A triangle is a polygon because it has three straight sides.

What is the sum of the interior angles of a polygon?

The sum of the interior angles of a polygon is given by the formula:

S = (n - 2)180

where n is the number of sides of the polygon.

For example, a triangle has 3 sides, so the sum of its interior angles is 3 - 2 = 1 * 180 = 180 degrees. Similarly, a square has 4 sides, so the sum of its interior angles is 4 - 2 = 2 * 180 = 360 degrees.

It is worth noting that the sum of the interior angles of a polygon is always less than the sum of the exterior angles, which is simply n * 180 degrees.

How many sides does a polygon have?

A polygon is a plane figure that is composed of straight lines that are connected to form a closed figure. A polygon is a closed figure with sides that are straight lines. The sides of a polygon may or may not be of equal length. The word "polygon" is derived from the Greek words for "many" (poly) and "angle" (gon).

The simplest polygon is the triangle, which has three sides. The next simplest is the quadrilateral, which has four sides. A quadrilateral can be divided into two types: the parallelogram and the trapezoid. A parallelogram has four sides and its opposite sides are parallel. A trapezoid has four sides with two of its sides being parallel.

There are an infinite number of polygons with sides that are different lengths and that are not parallel. The most common polygons are the pentagon (5 sides), the hexagon (6 sides), and the octagon (8 sides).

A regular polygon is a polygon whose sides are all of the same length and whose angles are all of the same size. The most common regular polygons are the equilateral triangle, the square, and the regular hexagon.

The number of sides a polygon has is its dimensionality, or order. The dimensionality of a polygon is determined by the number of vertices (corners) it has. For example, a triangle has dimensionality 3 because it has 3 vertices. A square has dimensionality 4 because it has 4 vertices.

A polygon with n sides is called an n-gon. The word "polygon" is usually used to refer to a 2-dimensional figure, but it can also refer to a 3-dimensional figure such as a cube or a pyramid. A 3-dimensional figure that is composed of polygons is called a polyhedron.

What is the perimeter of a polygon?

A polygon is a geometric shape with straight sides. The perimeter is the distance around the outside of the polygon. To find the perimeter of a polygon, you need to add up the lengths of all the sides.

The perimeter of a polygon is important because it can be used to calculate the area of the polygon. The formula for the area of a polygon is:

Area = 1/2 * perimeter * apothem

Where apothem is the length of the line from the center of the polygon to the midpoint of one of the sides.

Perimeter is also important in real world applications. For example, when you are fencing in a piece of land, you need to know the perimeter so you know how much fencing to buy.

When working with polygons, it is important to remember that the sides must be straight. This means that the perimeter of a polygon will always be greater than or equal to the perimeter of any of its inscribed shapes. An inscribed shape is a shape that fits inside the polygon and touches all of the sides.

The perimeter of a polygon can be found using simple geometry or by using more complex methods such as calculus. However, for most polygons, the perimeter can be found by simply adding up the lengths of the sides.

Assuming that you have the lengths of the sides, the perimeter of a polygon is simply the sum of the lengths of the sides. For example, if a polygon has sides with lengths of 3, 4, and 5, the perimeter would be 3 + 4 + 5 = 12.

If you do not have the lengths of the sides, you can still find the perimeter of the polygon. To do this, you need to find the lengths of two sides and then use the Pythagorean Theorem to find the length of the third side. Once you have the length of the third side, you can add it to the other two sides to find the perimeter.

The Pythagorean Theorem is a mathematical formula that states that:

a^2 + b^2 = c^2

Where a and b are the lengths of the two sides and c is the length of the hypotenuse. The hypotenuse is the side that is opposite the right angle.

To use the Pythagorean Theorem to find the perimeter of a polygon,

What is the area of a polygon?

A polygon is a closed plane figure consisting of three or more straight sides. The sides of a polygon are line segments and the points where the sides meet are called vertices or corners. The word polygon comes from the Greek word for many angles. The area of a polygon is the amount of space inside the polygon.

To find the area of a polygon, we first need to decide what kind of polygon it is. There are three main types of polygons: triangles, quadrilaterals, and pentagons.

Triangles: The area of a triangle is 1/2 of the product of the length of its base and its height. The base is any one of the sides and the height is the perpendicular distance from the base to the opposite vertex.

Quadrilaterals: A quadrilateral is a four-sided polygon. The area of a quadrilateral is the product of its two diagonals.

Pentagons: A pentagon is a five-sided polygon. The area of a pentagon is 1/2 of the product of its length and its apothem. The apothem is the perpendicular distance from the center of the pentagon to one of its sides.

Now that we know how to find the area of the three main types of polygons, we can find the area of any polygon by dividing it into triangles, quadrilaterals, or pentagons.

For example, let's find the area of the polygon shown below.

We can divide this polygon into two triangles and one quadrilateral. To find the area of the entire polygon, we need to add the areas of the triangles and the quadrilateral.

The area of the first triangle is 1/2 * 6 * 8 = 24. The area of the second triangle is 1/2 * 10 * 8 = 40. The area of the quadrilateral is 10 * 6 = 60.

Therefore, the area of the entire polygon is 24 + 40 + 60 = 124.

Frequently Asked Questions

Which of the following figures are not polygons?

The polygon in the top left is not a polygon because the line segments intersect. The polygon in the bottom right is not a polygon because two angles are greater than 180°.

Why are most shapes not polygons?

Some shapes cannot be made into polygons simply because they have curved sides. There are other reasons why some shapes are not considered polygons, such as if one side of the shape overlaps another side, or if the shape has closed sides.

Are geometrical figures polygons?

Yes, all of the following figures are polygons. No, the figure on the right is not a polygon. Its sides do not cross, but it is formed by segments.

Which of the following is an example of equilateral polygon?

A rhombus A rectangle

Why is a circle not a polygon?

A circle is not a polygon because it does not have the required number of sides - five on this example. Side lengths are measured in inches, so each side would be 5 + 1 = 6 inches.

Donald Gianassi

Donald Gianassi

Writer at CGAA

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Donald Gianassi is a renowned author and journalist based in San Francisco. He has been writing articles for several years, covering a wide range of topics from politics to health to lifestyle. Known for his engaging writing style and insightful commentary, he has earned the respect of both his peers and readers alike.

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