Date: Topic: Trapezoids and Kites (7.3) Warm-up: A B C D ABCD is a rectangle. 30 Perimeter = 80 Opposite sides of a rectangle are congruent. 2 2

Trapezoids A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are called the bases, and the two remaining sides are called the legs. base leg Adjacent angles between the bases are supplementary (add to 180°)

Find a and b. a b 140° 70° Adjacent angles between the bases are supplementary. 110° 40°

Isosceles Trapezoids An isosceles trapezoid is a trapezoid with congruent legs. Isosceles trapezoids have special properties: Base angles are congruent. Diagonals are congruent. A B CD

Find a, b, and c b a c Base angles are congruent. 80° 100° The legs of an isosceles trapezoid are congruent. 25 cm c = 25 cm 80° 100° 25 cm

Kites A kite is a quadrilateral with two pairs of consecutive congruent sides. The angles between the congruent sides are called vertex angles. The other angles are called non-vertex angles.

Kites Kites have unique properties: Non-vertex angles are congruent. The diagonals intersect forming right angles. Diagonals bisect the vertex angles. The diagonal connecting the two vertex angles bisects the other diagonal.

Find a, b, and c. b 42° a 90° Diagonal bisects vertex angles. Diagonals intersect forming right angles. Non-vertex angles are congruent. 110° 42° 110° c