Kite Definition: A quadrilateral with exactly two distinct pairs of congruent consecutive sides. Picture:

Vertex Angle (Kite) Vertex Angle: the angles between each pair of congruent sides. Picture:

Nonvertex Angle (Kite) Definition: the angles between the two different sized sides. Picture:

Kite Angles Conjectures Conjecture: The nonvertex angles of a kite are congruent. Picture: ∠B and ∠D are congurent

Kite Diagonals Conjectures Conjecture: The diagonals of a kite are perpendicular. Picture:

Kite Diagonal Bisector Conjecture Conjecture: The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal. Picture:

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.

Find x and y.

Trapezoid Definition: A quadrilateral with exactly one pair of parallel sides. Picture:

Variety of Trapezoids

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

Isosceles Trapezoids Definition: The two non-parallel sides are congruent. Picture:

Isosceles Trapezoid Conjecture Conjecture: The base angle of the isosceles trapezoid are congruent. Picture: .

Isosceles Trapezoid Diagonals Conjecture Conjecture: The diagonals of an isosceles trapezoid are congruent. Picture:

Right Trapezoid Definition: Trapezoid with two right angles. Picture: