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245
Chapter 8
15.
C;
G
w
J
w
and
H
w
K
w
are the diagonals. Since the
diagonals of a parallelogram bisect each other, the
intersection point is the midpoint of
G
w
J
w
and
H
w
K
w
.
Find the intersection of the diagonals by finding
the midpoint of
G
w
J
w
.
1
}
x
1
1
2
x
2
}
,
}
y
1
1
2
y
2
}
2
5
1
}
2
3
2
1
3
}
,
}
4
1
2
(
2
5)
}
2
5
(0,
2
0.5)
The diagonals intersect at (0,
2
0.5).
Pages 415–416
Practice and Apply
16.
/
DAB
>
/
BCD
because opposite angles of a
parallelogram are congruent.
17.
/
ABD
>
/
CDB
because alternate interior angles
are congruent.
18.
A
w
B
w
i
D
w
C
w
because opposite sides of a parallelogram
are parallel.
19.
B
w
G
w
>
G
w
D
w
because the diagonals of a
parallelogram bisect each other.
20.
n
ABD
>
n
CDB
because the diagonal
B
w
D
w
separates the parallelogram into two congruent
triangles.
21.
/
ACD
>
/
BAC
because alternate interior angles
are congruent.
22.
/
RNP
>
/
NRM
because they are alternate
interior angles. So,
m
/
RNP
5
38. Find
m
/
MNP
.
m
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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

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