![]() So all other quadrilaterals are irregular. The only regular (all sides equal and all angles equal) quadrilateral is a square. and that's it for the special quadrilaterals. one of the diagonals bisects (cuts equally in half) the other.the diagonals, shown as dashed lines above, meet at.A polygon is a plane figure described by a closed, polygonal line. More Examples Play With Them Try Interactive Polygons. Educational video for children to learn what polygons are and how we classify them. A complex polygon intersects itself Many rules about polygons don't work when it is complex. The KiteĮach pair is made of two equal-length sides that join up. Simple or Complex A simple polygon has only one boundary, and it doesn't cross over itself. (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. A concave polygon has one interior angle greater than 180°. A convex polygon has no interior angle greater than 180° (it has no inward-pointing sides). 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. Lets take a look at the vast array of shapes that are polygons. 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: A square has the most lines of symmetry (four), of all quadrilaterals. A square’s two diagonals divide each of the square’s four right (90-degree) angles into two equal 45-degree angles. They should add to 360° Types of Quadrilaterals A square’s two diagonals divide each other into two equal segments. However, the number of sides vary, as given below: Shapes of Polygon. These all are the perfect shapes and examples of a polygon. Try drawing a quadrilateral, and measure the angles. Following are the most common geometrical shapes of a polygon. ![]() interior angles that add to 360 degrees:.(Also see this on Interactive Quadrilaterals) Properties ![]()
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