Geometry Ch 5.3

Geometry Ch 5.3 - Kite and Trapezoid Properties • Recall...

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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? C-35 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 C-38 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 C-36 Kite Diagonals Conjecture...
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Geometry Ch 5.3 - Kite and Trapezoid Properties • Recall...

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