Such shapes include squares, rectangles, triangles and pentagons but not circles or any other shape that includes a curve. Understanding shapes is important in mathematics. You will certainly be required to learn about shapes at school but understanding the properties of shapes has many practical applications in professional and real-life situations too.
Many professionals need to understand the properties of shapes, including engineers, architects, artists, real-estate agents, farmers and construction workers. You may well need to understand shapes when doing home improvements and DIY, when gardening and even when planning a party.
A three-sided polygon is a triangle. There are several different types of triangle see diagram , including:. Triangles can also be described in terms of their internal angles see our page on Angles for more about naming angles. A triangle with only acute internal angles is called an acute or acute-angled triangle. One with one obtuse angle and two acute angles is called obtuse obtuse-angled , and one with a right angle is known as right-angled. Each of these will also be either equilateral, isosceles or scalene.
Four-sided polygons are usually referred to as quadrilaterals, quadrangles or sometimes tetragons. In geometry the term quadrilateral is commonly used. The term tetragon is consistent with polygon, pentagon etc. You may come across it occasionally, but it is not commonly used in practice. Parallelogram : Opposite sides are parallel, opposite sides are equal in length, opposite angles are equal. Rhombus : A special type of parallelogram in which all four sides are the same length, like a square that has been squashed sideways.
Trapezium or trapezoid : Two sides are parallel, but the other two sides are not. Side lengths and angles are not equal. Isosceles Trapezium or trapezoid : Two sides are parallel and base angles are equal, meaning that non-parallel sides are also equal in length. Kite : Two pairs of adjacent sides are of equal length; the shape has an axis of symmetry. Irregular Quadrilateral : a four-sided shape where no sides are equal in length and no internal angles are the same. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides….
The names of polygons are derived from the prefixes of ancient Greek numbers. The Greek numerical prefix occurs in many names of everyday objects and concepts. These can sometimes be useful in helping you remember how many sides a polygon has. For example:. There are names for many different types of polygons, and usually the number of sides is more important than the name of the shape. A regular polygon has equal length sides with equal angles between each side.
Any other polygon is an irregular polygon , which by definition has unequal length sides and unequal angles between sides. Circles and shapes that include curves are not polygons - a polygon, by definition, is made up of straight lines. See our pages on circles and curved shapes for more. The angles between the sides of shapes are important when defining and working with polygons.
See our page on Angles for more about how to measure angles. There is a useful formula for finding out the total or sum of internal angles for any polygon, that is:. Types Of Regular Polygons A triangle that has all sides and angles the same is called an equilateral triangle, or regular triangle. A quadrilateral that has all sides and angles the same is called a square, or regular quadrilateral.
A pentagon that has all sides and angles the same is known as a regular pentagon. An octagon is an 8-sided polygon a flat shape with straight sides.
First, have a play with an octagon: Regular or Irregular. When all angles are equal and all sides are equal it is regular, otherwise it is irregular. In geometry, the polygon is the shapes. The number of shapes is available in polygon. The names are triangle, quadrilateral, heptagon, hexagon, pentagon, octagon, nonagon, decagon etc. A regular polygon has: Two dimensions Straight sides Congruent equal-length sides An interior and exterior Equal interior angles Equal exterior angles.
A polygon is an enclosed two-dimensionalshape with straight sides. This includes triangles, quadrilaterals, pentagons, etc but not circles or ovals. Along with seven sides aheptagon has seven vertices and angles. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…. Helpful tips. What is a 7 sided polygon called? What is the name of a 9 sided polygon? What is a 8 sided polygon called?
What is a sided shape called? What is 20 sided polygon called? Is there a 7 sided shape? What is a billion sided shape called?
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