S ELECT A NSWERS TO W ORKSHEET #3,4,6: False #13: t = 7 #15: 2, BCA, DCA #19: 25 Any other questions???

5-5 T RAPEZOIDS

T RAPEZOID Quadrilateral with one pair of parallel sides Parallel sides are called the “bases”. Non-parallel sides are called the “legs”.

I SOSCELES T RAPEZOID Trapezoid where the legs are congruent Diagonals are congruent.

T HEOREM Base angles of an isosceles trapezoid are congruent. What else can you tell me about angles x and y? They are supplements! xx y y

TOO: F IND THE MISSING ANGLES 1) 2)

T HEOREM The median of a trapezoid is parallel to the bases (Base + Base) divided by 2 c a b

E XAMPLE : EF IS THE MEDIAN OF T RAPEZOID ABCD 1) If AB = 25 and DC = 13, find EF. 2) If AB = 29 and EF = 24, find DC. TOO: If AB = 7y + 6, EF = 5y – 3, and DC = y – 5, find y and EF. A E DC F B

Mult. Choice Notes Given: TRAP is an isosceles trapezoid with diagonals RP and TA. Which of the following must be true? A) B) C) D) RP bisects TA ANSWER: C

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.

H OMEWORK 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