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Transcript
Name Honors Geometry Proving that a Quadrilateral is a Parallelogram Any of the methods may be used to prove that a quadrilateral is a parallelogram. 1) If both pairs of opposite sides are parallel, then the quadrilateral is a parallelogram. 2) :If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. 3) If one pair of opposite sides of a quadrflateral are congruent and parallel, then the quadrilateral is a parallelogram. 4) [f the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. 5) :If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Name Honors Geometry Given: CirCle H and CirCle "Prove: HELO is a parallelogram E 2) Given: ~CDt~ is an isosceles trapezoid BC is the base of: isosceles triangle BCD 13rove: ABDE is a parallelogram D C M H A D H E prove: ABCD is a parallelogram G 5) Given: KR is a median to ,70 RP = KM RM ~ KM P JM01~ is a para!leiogram M K Date ....... Parallelog rams Name.......................... Honors Geometry" 1. Given: CE -- EA DE --_ EF BF - FC D Prove: ABFD is a parallelogram A E F Given ABCD and BEFC are para![elograms Prove: AEFD is a parallelogram E D