![]() ![]() So, interior angle = 180° – exterior angle.ĪBCDEF is a regular hexagon of sides ‘6’. The Sum of an interior angle and exterior angle is equal to 180°. The Interior angle is an angle formed by two sides of a polygon that share one common point as vertices. Each exterior angle of a polygon = 360° / number of sides of the polygonĮach exterior angle of the hexagon is 60°.The Sum of all the exterior angles of a polygon is equal to 360°.Irregular pentagon Angles in a PolygonĪn exterior angle is an angle formed by any side of the polygon and a line extended from the next side. The regular pentagon is a regular polygon.įor an irregular polygon, all the sides have different lengths and all the angle measurements are unequal.Įx. They are regular polygons and irregular polygons.įor a regular polygon, all the side’s length is equal and all the angles are also equal. For a regular polygon, all the sides are equal. Polygon is a 2-dimensional shape bounded by three or more finite number of straight lines. Two pairs of sides have equal sides and these sides are adjacent to each other.ĪB = AD is one pair of sides and AB, AD adjacent to each other.īC = CD is another pair of sides and BC, CD are adjacent to each other.Īngles formed by these two pairs of sides are equal.ĭiagonals bisect each other at right angles. Two sides are parallel and the other two sides are not parallel AB || OC but AB≠DC.Ī kite is a quadrilateral with two pair of equal length sides which are adjacent to each other. The quadrilateral in which a pair of opposite sides are parallel to each other but they are not equal, that is a trapezium. ∠A + ∠B = 180° = ∠B + ∠C = ∠C + ∠D = ∠D + ∠AĪ parallelogram is a special kind of rectangle with opposite sides parallel and equal in length, opposite angles are equal, adjacent angles sum equal to 180°, and diagonals bisect each other. Rhombus is a special kind of square with all sides equal, opposite sides parallel, and diagonals bisect each other at 90°.ĪB = BC = CD = AD AB || CD and BC || AD. ![]() The quadrilateral with opposite sides length equal and every angle equal to 90˚ is a rectangle.ĭiagonals AC and BD bisect each other at 90°. All the properties of the rhombus and rectangle will be satisfied for the square. Square is a special kind of rhombus and rectangles. Diagonals of a square are equal in length and cut each other at 90°.Īngles of a square are equal and 90°. ![]() The quadrilateral with all-sided equal and every angle equal to the right angle is a square. ∠A+∠B+∠C+∠D =360° Different Types of Quadrilaterals and Their Properties Quadrilateral DefinitionĪ quadrilateral is a closed polygon bounded by four straight lines.Ī quadrilateral consists of four sides, four edges, and four vertices or corners. Types of polygons and Types of Quadrilaterals with Properties of kite Quadrilateral are also explained. The following diagram summarizes the various quadrilaterals described above.Types of Quadrilaterals and Their Properties: Different types of quadrilaterals are explained below with their properties. KiteĪ kite is a quadrilateral with two pairs of congruent adjacent sides. TrapezoidĪ trapezoid is a quadrilateral with one pair of parallel opposite sides. The four angles of a square are right angles. SquareĪ square is quadrilateral with four congruent sides and four congruent angles. The opposite angles of a rhombus are congruent. The opposite sides of a rhombus are parallel. RhombusĪ rhombus is a quadrilateral with four congruent sides. The opposite sides of a rectangle are congruent and parallel. RectangleĪ rectangle is a quadrilateral with four right angles. The opposite angles and sides of a parallelogram are congruent. ParallelogramĪ parallelogram is a quadrilateral with two pairs of parallel sides. They are often categorized further based on their angles and sides. Quadrilaterals are widely studied in geometry. Since the sum of the interior angles of a triangle is 180°, the sum of the interior angles for the quadrilateral is 2×180° = 360°. A diagonal can be drawn from vertex A above dividing the quadrilateral into two triangles, △ABC and △ADC. Opposite angles do not share a common side. Four interior angles at each of the vertices: A, B, C, and D.Opposite sides do not share a common vertex. Quadrilateral ABCD, shown below, has the following properties: Home / geometry / shape / quadrilateral QuadrilateralĪ quadrilateral is a polygon that has four sides. ![]()
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