The two diagonals of our kite, KT and IE, intersect at a right angle. It is possible to have all four interior angles equal, making a kite that is also a square. Where two unequal-length sides meet in a kite, the interior angle they create will always be equal to its opposite angle. If your kite/rhombus has four equal interior angles, you also have a square. Your quadrilateral would be a kite (two pairs of adjacent, congruent sides) and a rhombus (four congruent sides). Your kite could have four congruent sides. Then you would have only a quadrilateral. The other two sides could be of unequal lengths. You could have one pair of congruent, adjacent sides but not have a kite. This makes two pairs of adjacent, congruent sides. To be a kite, a quadrilateral must have two pairs of sides that are equal to one another and touching. The kite's sides, angles, and diagonals all have identifying properties. You could have drawn them all equal, making a rhombus (or a square, if the interior angles are right angles). You probably drew your kite so sides KI and EK are not equal. Notice that line segments (or sides) TE and EK are equal. Connect point E with point K, creating line segment EK. If you end the new line further away from ∠I than diagonal KT, you will make a convex kite.Ĭonnect the endpoint of the perpendicular line with endpoint T. If you end the line closer to ∠I than diagonal KT, you will get a dart. Lightly draw that perpendicular as a dashed line passing through ∠I and the center of diagonal KT. Mark the spot on diagonal KT where the perpendicular touches that will be the middle of KT. Line it up along diagonal KT so the 90° mark is at ∠I. This is the diagonal that, eventually, will probably be inside the kite. The angle those two line segments make ( ∠I) can be any angle except 180° (a straight angle).ĭraw a dashed line to connect endpoints K and T. Draw a line segment (call it KI) and, from endpoint II, draw another line segment the same length as KI. You have a kite! How to draw a kite in geometry Now carefully bring the remaining four endpoints together so an endpoint of each short piece touches an endpoint of each long piece. Touch two endpoints of the longer strands together. Touch two endpoints of the short strands together. Cut or break two spaghetti strands to be equal to each other, but shorter than the other two strands. Kite and Dart - Geometry How to construct a kite in geometry A dart is also called a chevron or arrowhead. That means two of its sides move inward, toward the inside of the shape, and one of the four interior angles is greater than 180°. Some kites are rhombi, darts, and squares. Sometimes a kite can be a rhombus (four congruent sides), a dart, or even a square (four congruent sides and four congruent interior angles). So all other quadrilaterals are irregular.A kite is a quadrilateral shape with two pairs of adjacent (touching), congruent (equal-length) sides. 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 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:.(Also see this on Interactive Quadrilaterals) Properties
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