A polygon with 4 sides is called

Regular polygon - A polygon having all sides of equal length and the interior angles of equal measure is known as a regular polygon i. A regular 3 sided polygon is an equilateral triangle.

A quadrilateral is a polygon that has exactly four sides. This also means that a quadrilateral has exactly four vertices, and exactly four angles. Discussions of 2-D shapes sometimes refer only to the boundary the line segments that form the edges of the figure or to the interior as well. The usual definitions of polygons, however, refer only to the line segments that form the edges of the polygon. Most of the time, context will make clear what you mean, but you should remain aware that in some cases you may need to clarify. Elementary school curricula typically have children learn the names of special subsets of quadrilaterals with particular features.

A polygon with 4 sides is called

In geometry a quadrilateral is a four-sided polygon , having four edges sides and four corners vertices. The word is derived from the Latin words quadri , a variant of four, and latus , meaning "side". It is also called a tetragon , derived from Greek "tetra" meaning "four" and "gon" meaning "corner" or "angle", in analogy to other polygons e. Since "gon" means "angle", it is analogously called a quadrangle , or 4-angle. Quadrilaterals are either simple not self-intersecting , or complex self-intersecting, or crossed. Simple quadrilaterals are either convex or concave. The interior angles of a simple and planar quadrilateral ABCD add up to degrees of arc , that is [1]. All non-self-crossing quadrilaterals tile the plane , by repeated rotation around the midpoints of their edges. A self-intersecting quadrilateral is called variously a cross-quadrilateral , crossed quadrilateral , butterfly quadrilateral or bow-tie quadrilateral. The two diagonals of a convex quadrilateral are the line segments that connect opposite vertices. The two bimedians of a convex quadrilateral are the line segments that connect the midpoints of opposite sides. The four maltitudes of a convex quadrilateral are the perpendiculars to a side—through the midpoint of the opposite side. The area can be expressed in trigonometric terms as [14]. The area can be also expressed in terms of bimedians as [16].

The two bimedians in a quadrilateral and the line segment joining the midpoints of the diagonals in that quadrilateral are concurrent and are all bisected by their point of intersection. The line is remarkable by the fact that it contains the area centroid.

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Classify quadrilaterals, including rectangles, rhombuses, and squares. A quadrilateral is a polygon with four sides. Here are some examples of quadrilaterals:. A shape with 4 sides.

A polygon with 4 sides is called

Wiki User. A polygon with 3 sides is called triangle A polygon with 4 sides is called quadrilateral A polygon with 5 sides is called pentagon A polygon with 6 sides is called hexagon A polygon with 7 sides is called heptagon A polygon with 8 sides is called octagon. A polygon may have any number of sides. A shape with four sides is a type of polygon called a quadrilateral. A polygon whose sides are not equal is known as an irregular polygon.

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Kindergarten Worksheets. The quadrilateral with given side lengths that has the maximum area is the cyclic quadrilateral. United Kingdom. Investigations: When investigating special quadrilaterals and their properties, students find many ways to distinguish quadrilaterals. Euler also generalized Ptolemy's theorem , which is an equality in a cyclic quadrilateral , into an inequality for a convex quadrilateral. The shape and size of a convex quadrilateral are fully determined by the lengths of its sides in sequence and of one diagonal between two specified vertices. The square is also the name of the regular quadrilateral — one in which all sides are congruent and all angles are congruent. The two diagonals p, q and the four side lengths a, b, c, d of a quadrilateral are related [14] by the Cayley-Menger determinant , as follows:. In the following table it is listed if the diagonals in some of the most basic quadrilaterals bisect each other, if their diagonals are perpendicular , and if their diagonals have equal length. Most of the time, context will make clear what you mean, but you should remain aware that in some cases you may need to clarify. The line is remarkable by the fact that it contains the area centroid.

In geometry a quadrilateral is a four-sided polygon , having four edges sides and four corners vertices.

United States. The lengths of the diagonals in a convex quadrilateral ABCD can be calculated using the law of cosines on each triangle formed by one diagonal and two sides of the quadrilateral. Then the intersection of the lines O a O c and O b O d is called the quasicircumcenter , and the intersection of the lines H a H c and H b H d is called the quasiorthocenter of the convex quadrilateral. The "side centroid" comes from considering the sides to have constant mass per unit length. The following two formulas express the area in terms of the sides a , b , c and d , the semiperimeter s , and the diagonals p , q :. In two-dimensional Euclidean space, expressing vector AC as a free vector in Cartesian space equal to x 1 , y 1 and BD as x 2 , y 2 , this can be rewritten as:. One more interesting line in some sense dual to the Newton's one is the line connecting the point of intersection of diagonals with the vertex centroid. Elementary school curricula typically have children learn the names of special subsets of quadrilaterals with particular features. Compare quadri- to Spanish cuatro. Another possible way to classify quadrilaterals is by examining their diagonals. Then [39]. Note 2: The most general kite has unequal diagonals, but there is an infinite number of non-similar kites in which the diagonals are equal in length and the kites are not any other named quadrilateral. Maths Games. The area can be also expressed in terms of bimedians as [16].