1. Kite
Definition: A quadrilateral with exactly two distinct pairs of congruent consecutive sides.
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2. Vertex Angle (Kite)
Vertex Angle: the angles between each pair of congruent sides.
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3. Nonvertex Angle (Kite)
Definition: the angles between the two different sized sides.
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4. Kite Angles Conjectures
Conjecture: The nonvertex angles of a kite are congruent.
Picture: ∠B and ∠D are congurent

5. Kite Diagonals Conjectures
Conjecture: The diagonals of a kite are perpendicular.
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6. Kite Diagonal Bisector Conjecture
Conjecture: The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal.
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7. Kite Angle Bisector Conjecture
Conjecture: The vertex angles of a kite are bisected by the diagonal.
Picture: ∠𝐷 𝑎𝑛𝑑 ∠𝐹 are both bisected by the diagonal.

8. Find x and y.

11. Trapezoid
Definition: A quadrilateral with exactly one pair of parallel sides.
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12. Variety of Trapezoids

13. Trapezoid Consecutive Angles Conjecture
Conjecture: The consecutive angles between the bases of a trapezoid are supplementary.
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∠𝐴+ ∠B=180 𝑎𝑛𝑑 ∠D+∠C=180

14. Isosceles Trapezoids
Definition: The two non-parallel sides are congruent.
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15. Isosceles Trapezoid Conjecture
Conjecture: The base angle of the isosceles trapezoid are congruent.
Picture: .

16. Isosceles Trapezoid Diagonals Conjecture
Conjecture: The diagonals of an isosceles trapezoid are congruent.
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17. Right Trapezoid
Definition: Trapezoid with two right angles.
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