one of the diagonals bisects (cuts equally in half) the other. the diagonals, shown as dashed lines above, meet at. The KiteĮach pair is made of two equal-length sides that join up. (the US and UK definitions are swapped over!)Īn Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles. 
NOTE: Squares, Rectangles and Rhombuses are allĪ trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel.Īnd a trapezium (called a trapezoid in the UK) is a quadrilateral with NO parallel sides: Also opposite anglesĪre equal (angles "A" are the same, and angles "B" The ParallelogramĪ parallelogram has opposite sides parallel and equal in length. In other words they "bisect" (cut in half) each other at right angles.Ī rhombus is sometimes called a rhomb or a diamond. The RhombusĪ rhombus is a four-sided shape where all sides have equal length (marked "s").Īlso opposite sides are parallel and opposite angles are equal.Īnother interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. The SquareĪ square has equal sides (marked "s") and every angle is a right angle (90°)Ī square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length). The little squares in each corner mean "right angle"Ī rectangle is a four-sided shape where every angle is a right angle (90°).Īlso opposite sides are parallel and of equal length. Let us look at each type in turn: The Rectangle Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. There are special types of quadrilateral: They should add to 360° Types of Quadrilaterals Try drawing a quadrilateral, and measure the angles.
interior angles that add to 360 degrees:. A kite doesn’t have any right angles inside but the two lateral interior angles are equal.(Also see this on Interactive Quadrilaterals) Properties This is true regardless of the size of a kite. There are two equal sides adjacent to one another at the top and the two sides at the bottom are also equal. The shape of a kite makes it a quadrilateral. There are many variants of trapeziums, like the isosceles trapezoid. There are no right angles in a trapezoid. A trapezoid has two acute angles and two obtuse angles. A trapezoid, also called trapezium, with two equal parallel sides and two unequal parallel sides is a quadrilateral. A rhombus, also called a diamond or rhomb, with its four equal sides but not forming right angles is a quadrilateral. A rectangle with its four sides, four right angles and parallel opposite sides being equal in length is a parallelogram and a quadrilateral. All other shapes listed here are irregular quadrilaterals. Only square is a regular quadrilateral because all its four sides are equal. Parallelograms are hence a form of quadrilateral. Square, rectangle and rhombus qualify as parallelograms. The common quadrilaterals are square, rectangle, rhombus, trapezoid and kite. There are two types of quadrilaterals, regular and irregular. It is a given that the sides would have to be straight lines since the moment you bend the lines beyond a quad shaped figure, you would have more sides unless it is an open shape. Accordingly, a quadrilateral can be illustrated further.Ī quadrilateral should have four sides, four edges, four vertices forming four angles and those interior angles must collectively form 360 degrees. Whenever thickness or depth comes into the picture, there are more edges, sides, angles or vertices. Imagine any three dimensional figure and it would have more than four sides or edges. It cannot be three dimensional because then it would not have four sides. 
A quadrilateral is a two dimensional figure. The name itself is a coinage of quad and lateral. Any shape that has four sides will be considered a quadrilateral.
Quadrilateral literally means four sides. Quadrilateral is one such classification or group. Almost all such shapes and figures are classified in specific groups based on their similarities. There are innumerable geographic shapes or figures and there are endless possibilities of tweaking the conventional diagrams or forms.
Quadrilateral is a group of geometric shapes, figures or diagrams that have a distinct attribute.
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