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Unformatted text preview: Kite and Trapezoid Properties Recall that a kite is a quadrilateral with two distinct pairs of congruent consecutive sides One way to look at a kite is as two isosceles triangles sharing a common base The vertex angles of a kite are the angles between the congruent sides The nonvertex angles are the other two angles of the kite Recall that the vertex angle bisector of an isosceles triangle is a line of symmetry Is there a similar line of symmetry for a kite? What does the line of symmetry tell you about the nonvertex angles? C35 Kite Angles Conjecture The nonvertex angles of a kite are congruent In the diagram at right, BEN 2245 BYN by SSS, so Y 2245 E by CPCTC C38 Kite Angle Bisector Conjecture The vertex angles of a kite are bisected by a diagonal As shown above, BEN 2245 BYN by SSS, so 1 2245 2 by CPCTC and 3 2245 4 by CPCTC Kite and Trapezoid Properties U Kite and Trapezoid Properties C36 Kite Diagonals Conjecture...
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 Spring '10
 ChaoHue

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