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 regular 4 sided polygon is a square.

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].

If a convex quadrilateral has the consecutive sides abcd and the diagonals pqthen its area K satisfies [37]. The usual definitions of polygons, however, refer only to the line segments that form the edges of the polygon.

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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. A regular polygon has equal sides and angles. A polygon is a plane 2-dimensional shape bounded by straight lines. It can have 3 or more sides. A polygon with 4 sides is a quadrilateral.

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].

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Proceedings of the Royal Irish Academy. The vertex centroid divides the segment connecting the intersection of diagonals and the area centroid in the ratio Each figure is divided into triangles and the sum of the angles deduced from that. Retrieved 1 March Inclusive definitions are used throughout. Of all convex quadrilaterals with given diagonals, the orthodiagonal quadrilateral has the largest area. Cyclic quadrilaterals have the special property that the sum of their opposite angles is a straight angle, or degrees. Contents move to sidebar hide. About Us. The bimedians of a quadrilateral are the line segments connecting the midpoints of the opposite sides.

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This may be accessible for middle grade students who have learned about perpendicular lines and bisectors. Make a non-convex quadrilateral and try! Each figure is divided into triangles and the sum of the angles deduced from that. Hence that point is the Fermat point of a convex quadrilateral. The midpoints of the sides of any quadrilateral convex, concave or crossed are the vertices of a parallelogram called the Varignon parallelogram. The interior angles of a simple and planar quadrilateral ABCD add up to degrees of arc , that is [1]. Meaning A quadrilateral is a polygon that has exactly four sides. Quadrilaterals are either simple not self-intersecting , or complex self-intersecting, or crossed. Retrieved 22 June This relation can be considered to be a law of cosines for a quadrilateral. United Kingdom. Cyclic quadrilaterals have the special property that the sum of their opposite angles is a straight angle, or degrees. This is also a corollary to the parallelogram law applied in the Varignon parallelogram.