 ```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
ac
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
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
TOO

Multiple choice on Notes.

Kite

Diagonals are Perpendicular
 2 consecutive sets of sides
are congruent
 Longer diagonal bisects the
Angles and the shorter diagonal.

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
```