36.
Sample answer:
X
is at the origin, so place
Y
(
a
,
b
)
in the first quadrant.
XYZ
is scalene, so place
Z
on the
x
axis so that the
x
coordinate
c
is such that
XZ
YZ
XY
. So, the coordinates of
Z
are (
c
, 0).
37.
AB
4
a
AC
¬
(0
(
2
a
))
2
(2
a
0)
2
¬
4
a
2
4
a
2
or
8
a
2
CB
¬
(0
2
a
)
2
(2
a
0)
2
¬
4
a
2
4
a
2
or
8
a
2
Slope of
AC
0
2
a
(
2
0
a
)
or 1;
slope of
CB
2
0
a
2
a
0
or
1.
AC
CB
and
AC
CB
, so
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
¬
(
3
1)
2
[1
(
2)]
2
¬
16
9 or 5
40.
B;
x
1
2
x
2
,
y
1
2
y
2
5
2
(
2)
,
4
2
(
1)
(
3.5, 1.5)
Page 226
Maintain Your Skills
41. Given:
3
4
Prove:
QR
QS
Proof:
42. Given:
isosceles triangle
JKN
with vertex
N
,
JK
LM
Prove:
NML
is isosceles
Proof:
43. Given:
AD
CE
,
AD
CE
Prove:
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Pythagorean Theorem, triangle, Isosceles Triangle, Isosceles Triangle Theorem, AD CE

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