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5.3-5.4 Notes What is a Kite? a quad. with two distinct pairs of consecutive congruent sides. a quad. with two distinct pairs of consecutive congruent sides. Kite Facts: 1. The nonvertex angles of a kite Congruent are___________________. 2. The diagonals of a kite are ___________________. perpendicular 3. The diagonal connecting the vertex angles of a kite is the ________________ perpendicular __________________ of the diagonal bisector connecting the nonvertex angles. 4. The diagonal connecting the vertex bisects angles of a kite ________________the vertex angles. What is a trapezoid? a quad. with exactly one pair of parallel sides. What is an isosceles trapezoid? a trapezoid, whose non-parallel sides are congruent. Trapezoid Fact: The consecutive angles between the bases of a trapezoid are ______________________ supplementary Isosceles Trapezoid Facts: 1. The base angles of an isosceles trapezoid Congruent are ____________________ 2. The diagonals of an isosceles trapezoid Congruent are ____________________ Midsegment of a Triangle Midsegment of a Trapezoid: a segment that connects the midpoints of the nonparallel sides of a trapezoid. parallel A midsegment of a triangle is_____________to the third side and is _________________the half length of the third side. The three midsegments of a triangle divide the triangle into ________________________________. 4 congruent triangles The midsegment of a trapezoid is _____________to the bases and is equal in length to the average of the lengths of the _______________. 65 35 16 40 70 27 12 ft 19 ft 17 31 130 38 135