Kites+P3

__Kites__ - A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent.

Created by: Bryce Chudomelka and Tyler Craven

Theorem - If a quadrilateral is a kite, then its diagonals are perpendicular. Theorem – If a quadrilateral is a kite, then one pair of opposite angles are congruent. Theorem- If a quadrilateral is a kite, then it has two nonadjacent pairs of congruent sides. __ This is the link to the Geogebra File that shows theorems __
 * __ Theorems __**

__ Links to Websites __ CoolMath - @http://www.coolmath.com/reference/kites.html Math Website - @http://www.math.com/school/subject3/lessons/S3U2L3DP.html

__Video Link__ Great Video! - @http://www.brightstorm.com/math/geometry/polygons/kite-properties/

__Real Life Pictures__



__Test Problems__

A kite has exactly one pair of congruent opposite angles. Because Ð A ≠ Ð C and Ð B and Ð D must be congruent. Write and solve an equation.
 * 1. Quadrilateral ABCD is a kite. m**** Ð A = 90**** ° and m**** Ð C = 20**** ° . Find //m//**// Ð **B**// **and //m//**// Ð **D.**//

2. **Quadrilateral ABCD is a kite. m**** Ð A = 90**** ° and m**** Ð C = 48**** ° .Find m**** Ð B and m**** Ð D.** A kite has exactly one pair of congruent opposite angles. Because Ð A ≠ Ð C and Ð B and Ð D must be congruent. Write and solve an equation.

Because the polygon is a kite, m Ð D = m Ð F.
 * 3. Quadrilateral DEFG is a kite. Find m Ð D and m Ð F if given m Ð E (Top angle) = 124 ° and m Ð G (Bottom angle) = 80 ° . Write an equation. **

Because the polygon is a kite, m Ð A = m Ð C.
 * 4. Quadrilateral ABCD is a kite. Find m Ð A and m Ð C if given m Ð B (Top angle) = 146 ° and m Ð D (Bottom angle) = 67 ° . Write and equation. **