This preview shows page 1. Sign up to view the full content.
36.
Sample answer:
X
is at the origin, so place
Y
(
a
,
b
)
in the first quadrant.
n
XYZ
is scalene, so place
Z
on the
x
axis so that the
x
coordinate
c
is such that
XZ
Þ
YZ
Þ
XY
.So, the coordinates of
Z
are (
c
,0).
37.
AB
5
4
a
AC
5
¬
Ï
(0
2
(
w
2
2
a
))
w
2
1
(2
w
a
2
0)
w
2
w
5
¬
Ï
4
a
2
1
w
4
a
2
w
or
Ï
8
a
2
w
CB
5
¬
Ï
(0
2
2
w
a
)
2
1
w
(2
a
2
w
0)
2
w
5
¬
Ï
4
a
2
1
w
4
a
2
w
or
Ï
8
a
2
w
Slope of
A
w
C
w
5
}
0
2
2
a
(
2
2
2
0
a
)
}
or 1;
slope of
C
w
B
w
5
}
2
0
a
2
2
2
a
0
}
or
2
1.
A
w
C
w
'
C
w
B
w
and
A
w
C
w
>
C
w
B
w
, so
n
ABC
is a right
isosceles triangle.
38.
Sample answer: Placing the figures on the
coordinate plane is useful in proofs. We can use
coordinate geometry to prove theorems and verify
properties. Answers should include the following.
• flow proof, twocolumn proofs, paragraph proofs,
informal proofs, and coordinate proofs
• Sample answer: The Isosceles Triangle Theorem
can be proved using coordinate proof.
39.
C;
d
5
¬
Ï
(
2
3
2
w
1)
2
1
w
[1
2
(
w
2
2)]
2
w
5
¬
Ï
16
1
9
w
or 5
40.
B;
1
}
x
1
1
2
x
2
}
,
}
y
1
1
2
y
2
}
2
5
1
}
2
5
1
2
This is the end of the preview. Sign up
to
access the rest of the document.
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

Click to edit the document details