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36.
Opposite sides of a parallelogram are congruent,
so
A
w
B
w
>
C
w
D
w
and
AB
5
CD
.
Find
x.
AB
5
¬
CD
2
x
1
5
5
21
2
x
5
¬
16
x
5
¬
8
Consecutive angles in a parallelogram are
supplementary, so
/
B
is supplementary to
/
BAD
and
m
/
BAD
5
m
/
CAD
1
m
/
BAC
.
Find
y
.
m
/
BAD
1
m
/
B
5
¬
180
m
/
CAD
1
m
/
BAC
1
m
/
B
5
¬
180
21
1
2
y
1
120
5
¬
180
2
y
5
¬
39
y
5
¬
19.5
37.
The Distance Formula is
d
5
Ï
(
x
2
2
w
x
1
)
2
1
w
(
y
2
2
w
y
1
)
2
w
.
The diagonals bisect each other if
EQ
5
QG
and
HQ
5
QF
.
Find these measures.
EQ
5
Ï
(3
2
0
w
)
2
1
(1
w
2
5)
2
w
5
5
QG
5
Ï
(6
2
3
w
)
2
1
(
2
w
3
2
1)
w
2
w
5
5
HQ
5
Ï
(3
2
0
w
)
2
1
[1
w
2
(
2
w
1)]
2
w
5
Ï
13
w
QF
5
Ï
(6
2
3
w
)
2
1
(3
w
2
1)
2
w
5
Ï
13
w
The diagonals do indeed bisect each other.
38.
If
EG
5
FH
,the diagonals are congruent. Use the
Distance Formula to find
EG
and
FH.
d
5
Ï
(
x
2
2
w
x
1
)
2
1
w
(
y
2
2
w
y
1
)
2
w
EG
5
Ï
(6
2
0
w
)
2
1
(
2
w
3
2
5)
w
2
w
5
10
FH
5
Ï
(0
2
6
w
)
2
1
(
2
w
1
2
3)
w
2
w
5
Ï
52
w
5
2
Ï
13
w
No, the diagonals are not congruent, since
EG
Þ
FH
.
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Parallelograms

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