Download January 13 1. The ratio of the 2 side lengths is given. Solve for the

6.3-6.4 Review and Answers
January 14, 2010
Bell
Ringers
‐
January
13
1.
The
ratio
of
the
2
side
lengths
is
given.
Solve
for
the
variable
AB
:
AC
is
7
:
8
B
14a
A
C
48
3.
The
measures
of
the
angles
of
a
triangle
are
in
the
extended
ratio
given.
Find
the
measures
of
the
angles.
1
:
1
:
2
2.
Solve
for
x
and
Dind
m∠1
and
m∠2.
2
1º
x
+
1
7
º
5x
+
1
1
4.
Solve
for
y
and
Dind
m∠3
and
m∠4
4
4x
+
24º
3
18x
‐
18º
6.3-6.4 Review and Answers
January 14, 2010
1.
List
all
pairs
of
congruent
angles
for
the
Digures.
Then,
write
the
ratios
of
the
corresponding
sides
in
a
statement
of
proportionality.
S
∆RST
~
∆WVU
V
R
T
W
U
∠R
≅
∠W
RS
ST
TR
=
=
WV
VU
UW
∠S
≅
∠V
∠T
≅
∠U
2.
Determine
whether
the
polygons
are
similar.
If
they
are,
write
a
similarity
statement
and
Dind
the
scale
factor.
D
B
5
3
A
Yes, ∆ABC ~ ∆FDE
15
C
4
15
=
5
9
F
3
1
12
4
9
3
=
3
1
E
12
=
3
1
3.
The
polygons
are
similar
as
indicated.
Find
the
value
of
x.
BCDE
~
KLMJ
B
C
J
K
12
12
D
E
8
8
12
=
12
x
M
x
L
8x = 144
x = 18
1
6.3-6.4 Review and Answers
January 14, 2010
P
4.
In
the
diagram,
WXYZ
~
MNOP
a)
Find
the
scale
factor
of
WXYZ
to
MNOP.
8
=
10
M
X
W
4
5
x
y
Z
10
zº
12
8
Y
O
135º
N
b)
Find
the
values
x,
y,
and
z.
4
5
12
x
=
4x = 60
x = 15
y=8
z = 135º
c)
Find
the
perimeter
of
WXYZ.
12 + 8 + 12 + 8 = 40
d)
Find
the
perimeter
of
MNOP.
15 + 10 + 15 + 10 = 50
e)
Find
the
ratio
of
the
perimeter
of
MNOP
to
the
perimeter
of
WXYZ.
40
=
50
4
5
2
6.3-6.4 Review and Answers
January 14, 2010
5.
Determine
whether
the
triangles
are
similar.
If
they
are,
write
a
similarity
statement.
Explain
your
reasoning.
G
M
K
N
H
∠GKH
≅
∠NKM
∠G
≅
∠N
∆GHK
~
∆NMK
(Vertical
Angles
≅
Thm)
(Alternate
Interior
Angles
Thm)
(Angle
‐
Angle
Similarity
Postulate)
6.
Determine
whether
the
triangles
can
be
proved
to
be
similar.
If
they
are
write
a
similarity
statement.
Explain
your
reasoning.
Q
R
U
T
S
∠S
≅
∠S
(ReDlexive
POC)
∠SRT
≅
∠SQU
(Corresponding
Angles
Thm)
∆SRT
~
∆SQU
(AA
Similarity
Postulate)
3
6.3-6.4 Review and Answers
January 14, 2010
7.
The
perimeter
and
the
ratio
of
the
length
to
the
width
of
a
rectangle
are
given.
Find
the
length
and
width
of
the
rectangle.
Perimeter:
480
ft.
l
:
w
=
5
:
1
P
=
2l
+
2w
480
=
2(5x)
+
2(x)
480
=
10x
+
2x
480
=
12x
40
=
x
l
=
5x =
5(40)
=
200
w
=
1x =
1(40)
=
40
8.
Find
the
geometric
mean
of
the
two
numbers.
Write
as
a
proportion
and
then
solve
for
the
geometric
mean.
a)
3
and
15
3
x
=
x
15
2
x =
45
x
=
√(45)
x
=
√(9
*
5)
=
3
√(5)
b)
4
and
6
4
x
=
x2
=
24
x
6
x
=
√(24)
x
=
√(4
*
6)
=
2
√(6)
4