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.The KiteĮach pair is made of two equal-length sides that join up. The word adjacent means next to, so the congruent sides. A kite is a convex quadrilateral with two pairs of adjacent congruent sides such that not all sides are congruent. Additional properties are explored further and proved in another concept. (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. Below, these special quadrilaterals are described with their definitions and some properties. 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 In this example, the perimeter of a kite has a value of 56 inches. P 2cdot (a+b) 2cdot left ( 11+17 right ) 2cdot 28 56inch. It is necessary to find the perimeter of a kite. Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. Example 1: We will give the first example to calculate the perimeter of a kite: Side a of a kite has a length of 11 inches, while side b has a length of 17 inches. 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:.(Also see this on Interactive Quadrilaterals) Properties
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