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.

What else can you tell me about angles x and y? They are supplements!

x x

y y

TOO: FIND THE MISSING ANGLES

1)

2)

70 70

110 110

35 35

145 145

THEOREM

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

c

a

b

2

a cb

EXAMPLE: EF IS THE MEDIAN OF TRAPEZOID 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

D C

F

B

25 13

2EF

19

2924

2

DC

19

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)

B) C) D) RP bisects TA

ANSWER: C

RP TA

RP TA 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) trapezoidAnswer: 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 theAngles 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