Presentation on theme: "6.6 Trapezoids and Kites A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides of a trapezoid are called bases. The."— Presentation transcript:
1 6.6 Trapezoids and KitesA trapezoid is a quadrilateral with exactly one pair of parallel sides.The parallel sides of a trapezoid are called bases.The nonparallel sides are called legs.Two angles that share a base of a trapezoid are called base angles.An isosceles trapezoid is a trapezoid with legs that are congruent.
2 Theorem 6.19If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent.
3 Finding Angle Measures in Trapezoids CDEF is an isosceles trapezoid and the measure of angle C = 65. What are the measures of angle D, angle E, and angle F?
4 Theorem 6.20If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent.
5 Midsegment of a Trapezoid The midsegment of a trapezoid is the segment that joins the midpoints of its legs.Is parallel to the bases.The length of the midsegment is half the sum of the lengths of the bases.
6 KitesA kite is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.
7 Theorem 6.22If a quadrilateral is a kite, then its diagonals are perpendicular.
8 Finding Angle Measures in Kites Quadrilateral DEFG is a kite. What are the measures of angle 1, angle 2, and angle 3?