3.
B; let
x
represent the length of the shadow. Use
the Pythagorean Theorem to solve for
x
to the
nearest foot.
12
2
¬
9
2
x
2
144
¬
81
x
2
63
¬
x
2
8
¬
x
The shadow is about 8 feet long.
4.
D
5.
D; the slope of the line in Kris’s graph can be
found using points (0, 3) and (4, 11).
(
(
y
x
2
2
y
x
1
1
)
)
1
4
1
0
3
or 2
The slope of the line in Mitzi’s graph is the same
as the slope of the line in Kris’s graph, or 2. So
the line in Mitzi’s graph has equation
y
2
x
b
,
or 2
x
y
b
. The only answer of this form is
2
x
y
1, so
b
1 or
b
1.
6.
B;
m
EFG
¬
m
FDE
m
FED
9
x
7
¬
5
x
5
x
9
x
7
¬
10
x
7
¬
x
m
EFG
9(7)
7
70
7.
C;
ABD
CBD
, so
CBD
is a flip of
ABD
over the
x
axis. Corresponding points have the
same
x
coordinate and opposite
y
coordinates.
8.
A; if we know
BC
CE
then
ACB
DCE
by
SAS.
9.
3
s
2
(2
s
3
7)
6
s
5
21
s
2
10.
Brian’s second statement was the converse of his
original statement.
11. Explore:
Creston (
C
) and Dixville (
D
) are
endpoints of the base of an isosceles triangle
formed by Creston, Dixville, and Milford. We are
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Angles, Pythagorean Theorem, Slope, Isosceles Triangle Theorem

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