![]() ![]() The smallest diagonal splits the Kite into two isosceles triangles. The Kite can be viewed as a set of congruent triangles having a standard base. Angles opposing the major diagonal in a Kite are of the same length. ![]() Kite has two diagonals that cross one another at right angles and is symmetrical around its major diagonal. Diagonal WY is the perpendicular bisector of diagonal XZ. Therefore, diagonals WY and XZ are perpendicular. Based on this, we know that the line segment from W and Y to the midpoint of XZ is the height of $\triangle$WXZ and $\triangle$CBD. Therefore, $\triangle$XYZ and $\triangle$YXZ are isosceles triangles that share a base, XZ. Diagonals of a KiteĪ kite has two diagonals that are perpendicular to each other:įor kite WXYZ as shown in Figure 2, XW $\cong$ ZW and XY $\cong$ ZY. The angles subtended by the neighboring sides that are not congruent for the kite are always congruent. = 52 cm Sides, Angles, and Diagonals of Kite Sides of a kiteĪ Kite has two sets of sides that are congruent and the congruent pair of Kite sides are not opposing faces. From the above formula, substituting x = 10 cm and y = 16 cm gives us: Where x and y are the lengths of the kite’s sides.įor example, suppose you want to find the perimeter of a kite whose side lengths are 10 and 16 cm. The formula for the perimeter for Kite is given by: Perimeter is the total distance covered while traveling along the sides of the Kite. Suppose the diagonals are 12 m and 16 m in length the kite area using the above formula, with d1 = 12 cm and d2 = 16 cm, turns out to be: Where the variables d1 and d2 represent the length of diagonals. The area represents the space enclosed by the Kite. The angles are equal where the pairs meet. Each pair of sides consists of two adjacent sides that are equal in length (in Figure 1, |AB| = |CB| and |AD| = |CD|).Two pairs of sides (in Figure 1, these pairs are AB-CB and AD-CD).Squares, rectangles, etc., are particular types of quadrilaterals with some sides and angles equal.Ī Kite is a balanced, closed figure having four linear sides such that there are: A quadrilateral has sides that have different lengths and different angles. The sum of all its internal angles is 360 degrees. Kite-shaped objects – A flying kite, wall hanging, and earrings.A quadrilateral itself has four corners and four sides, and four angles. ![]() Trapezoid-shaped objects – Handbags, popcorn tins, guitar-like dulcimer, and truss bridge supports.Rhombus-shaped objects – Section of a baseball field, mirrors, earrings, and rings.Parallelogram-shaped objects – Street and traffic sign, the structures on the neck of a guitar, and the United States Postal Service logo.Square-shaped objects – Chessboard, wall clock, and a slice of bread.Rectangle-shaped objects – Books, tabletops, mobile phones, and TV screens.A complex quadrilateral is also known as a crossed quadrilateral, bow-tie quadrilateral, or butterfly quadrilateral.Ĭrossed trapezoid, crossed-square, and crossed-rectangle are some examples of complex quadrilateral. Square, rectangle, and dart are some examples of simple quadrilateral.Īlso known as a crossed quadrilateral, it is a type of quadrilateral having self-intersecting sides. It is a type of quadrilateral with no self-intersecting sides. ![]() 3) Based on the Presence of Intersecting Sides Trapezoid and Kite are examples of irregular quadrilateral. It is a type of quadrilateral having one or more sides of unequal length and one or more angles of unequal measure. Square is the only regular quadrilateral. It is a type of quadrilateral with four sides of equal length and four angles of equal measure. A concave quadrilateral has one of its diagonals outside the closed figure.ĭart or arrowhead is an example of concave quadrilateral. It is a type of quadrilateral with at least one of its interior angles measuring greater than 180°. Square, rectangle, rhombus, and trapezoid are examples of a convex quadrilateral. A convex quadrilateral has both its diagonals inside the closed figure. It is a type of quadrilateral with all its interior angles measuring less than 180°. Special Quadrilateral Shapes Types Others Ways of Classifying Quadrilaterals 1) Based on Angles ![]()
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