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SELECT ANSWERS TO WORKSHEET #3,4,6: False #13: t = 7 #15: 2, BCA, DCA #19: 25 Any other questions??? 5-5 TRAPEZOIDS TRAPEZOID Quadrilateral with one pair of parallel sides Parallel sides are called the “bases”. Non-parallel sides are called the “legs”. ISOSCELES TRAPEZOID Trapezoid where the legs are congruent Diagonals are congruent. THEOREM Base angles of an isosceles trapezoid are congruent. y x y x What else can you tell me about angles x and y? They are supplements! TOO: FIND THE MISSING ANGLES 1) 110 110 70 2) 35 70 145 145 35 THEOREM The median of a trapezoid is parallel to the bases (Base + Base) divided by 2 a b c ac b 2 EXAMPLE: EF IS THE MEDIAN OF TRAPEZOID ABCD 1) 2) If AB = 25 and DC = 13, find EF. 19 If AB = 29 and EF = 24, find DC. 19 D C E 25 13 EF 2 F 29 DC 24 2 A B TOO: If AB = 7y + 6, EF = 5y – 3, and DC = y – 5, find y and EF. 3.5 14.5 Mult. Choice Notes Given: TRAP is an isosceles trapezoid with diagonals RP and TA. Which of the following must be true? A) RP TA B) RP TA D) RP bisects TA ANSWER: C C) RP TA Mult. Choice Notes Which figure can serve as a counterexample to the conjecture below? If one pair of opposite sides of a quadrilateral is parallel, then the quadrilateral is a parallelogram. A) rectangle B) rhombus C) square D) trapezoid Answer: D TOO Multiple choice on Notes. Answer: C Kite Is a Quadrilateral Diagonals are Perpendicular 2 consecutive sets of sides are congruent Longer diagonal bisects the Angles and the shorter diagonal. Now, add your new info (Trap and Kite) to our Quadrilateral paper from last Tuesday. HOMEWORK Page 192 #1-18 QUIZ Tomorrow!! Flash Cards due tomorrow!!! Trapezoid Isc. Trapezoid Kite Parallelogram (5 things) Rectangle (2 things) Rhombus (3 things) Square (everything!!) 5 ways to prove a quad is a parallelogram