9.5 Properties and Conditions forKites and Trapezoids

Essential Question: What are the properties of kites and trapezoids?

Properties of Kites1. The diagonals are perpendicular.2. Exactly one pair of opposite angles

are congruent.3. One of the diagonals bisects the pair

of non-congruent angles.4. Exactly one diagonal bisects the

other.

1. The diagonals are perpendicular.

2. Exactly one pair of opposite angles are congruent.

3. One of the diagonals bisects the pair of non-congruent angles.

4. Exactly one diagonal bisects the other.

Properties of Isosceles Trapezoid

1.The bases of an isosceles trapezoid are parallel.

2.Exactly one pair of opposite sides of an isosceles trapezoid are congruent.

3.The angles on either side of the bases are congruent

4.The diagonals are congruent.

1. The bases of an isosceles trapezoid are parallel.

AB is parallel to CD

2. Exactly one pair of opposite sides of an isosceles trapezoid are congruent.

AD BC≅

3. The angles on either side of the bases are congruent

LA LBLD LC

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