Name
Date
Geometry Worksheet
Trapezoids (6_5)
L Given: rsosceles
trapezoid
ABCD, mLBAC
= 30°
Period
=
and mLDBC
85°
mLl=
30
mL5=
(c>o
mL ADC =
(oS
mL2=
30
mL6=
I~D
mz; BCD =
bS
mL3=
35
mL7=
3D
mL DAB =
I\5
mL4=
~5
mL8=
g5
mLCBA=
\ \ 5""
2. Given: Isosceles
mLl=
42.-
trapezoid
JXVI, mLJVI
mL6=
mLll=
= 65°
3\
mL8=
mL JIV =
4:;(
mL9=
4~
mLIJX=
glf
mLlO=
~5
mL7=
mL3=
3\
mL4=
mL5=
3. Given: Isosceles
trapezoid
~8
mL6=
mL2=
g3
mL7=
\~ Y
510
mL8=
\ d. '+
~~.
mL9=
as>
Slo
mLIO=
g3
L1\
mL3=
mL12=
4d-
15
101
105
JXVI, mLIXV
mLl=
mL5=
~~
and mLIJV
84
qb
mL2=
mL4=
= 42°
=
83° and mLVJX
= 28°
mLll=
4\
mL12=
aR
mL IVX =
mLVXJ=
D
to <1\\
\
I
C
VW is the median of a trapezoid that has bases MN and PO , with Von OM and W on PN. If the
vertices of the trapezoid are M(2, 6), N(4, 6), P(10, 0), and 0(0, 0), find the coordinates of V and W.
(p
If' . t-\_
(d,-+O
b-tO""
(
""\
-
4.
'I:: mi<.\t>+ of
'V'J =- Y\'\\o.i>-\
o
2: -z: )
OM ::
0-' -t-.\
f
I
p:::
Lt·HO
"---'i" )
=- \
r.,~o,,\
(
2: ):.
I
'?:> }
"'\.
1,"?»
to ~
-,
N\tJOP
5. VW is the median of a trapezoid MNeathat has bases MN and PO, with Von PM and Won ON. If
M(5, 10), N(9 10), V(3, 7), and Well, 7), find the coordinates of P and O.
to"
1
S
fl'1!I
-
i
~N
\~'b
,,-=(3,')-x , (6.-±1'
2.
>
~
W
~
f.:>~S+')(
0
~_
-\4=tc+'tr
\.\:'t"
\-Y-
? ( \ J 4)
p.
S
<r-«
QR-:.~q
1
'22:q~)(
l~\.l~
_G
2-
l1\':.iO+'(t
\.\-::.'t
I?>:' X
0( \ 0
I
4)
A\
=
8. XY=16. Find TS+QR.
TS1-Q~
<O+2.~
_
.:
Q
10. ST= a and QR
Find XY.
X'(=
= 2b.
inL«.:: 4-5°
~
5
Q
.X
11.~X=S
/a'ndmLTXY = 45.
Find IT\~'
tvo-kes i-\- '\ so s
R
a+~b
x
In roblems 12-14. tra ezoid ABeD is isosceles. Find the variable in each.
...
.~
- "',/
5
Q
5
R
lb
Ts+GR=-32.
x
50
s:
2
5
mL~':'
(q~y
W -::(" I "l):: - 2.)
\0
XY is the median of tro ezoid QRST in roblems 6-11.
6. XY=18 and TS = 7.
7. TS = n andQR = 6.
Find QR.
R
Find XY in terms of n,
Q
0