Trapezoids and Kites: Geometry Practice Questions, Formulas, and Theorems

Trapezoids and Kites  Trapezoid Quadrilateral with exactly one pair of parallel sides. Parallel sides are the bases. Two pairs of base angles. Nonparallel sides are the legs. Base > Leg Leg...

Trapezoids and Kites  Trapezoid Quadrilateral with exactly one pair of parallel sides. Parallel sides are the bases. Two pairs of base angles. Nonparallel sides are the legs. Base > Leg Leg > Base  Isosceles Trapezoid Legs of a trapezoid are congruent. Base angles of an isosceles trapezoid are congruent. A > B D > C A B, C D  If a trapezoid has one pair of congruent base angles, then it is an isosceles trapezoid. A > B D > C ABCD is an isosceles trapezoid Diagonals of an isosceles trapezoid are congruent. A > B D > C ABCD is isosceles if and only if AC  BD  Midsegment of a trapezoid Segment that connects the midpoints of its legs. Midsegment  Midsegment Theorem for trapezoids Midsegment is parallel to each base and its length is one half the sum of the lengths of the bases. B C M N A D 1 MN= 2 (AD+BC)  Kite Quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent. Diagonals of a kite are perpendicular. B AC  BD A C D In a kite, exactly one pair of opposite angles are congruent. B A C A C , B D D  Area Formulas RHOMBUS KITE d1 d1 d2 d2 1 1 A  d1d 2 A  d1d 2 2 2 Area Formulas TRAPEZOID b1 h b2 1 A  h(b1  b2 ) 2 What is the area of the kite? Find the value of x and y Find the value of x