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Fourth Six
Weeks’ Test
Review
Find the Geometric
mean between 4
and 25.
=10
NM=9,
MK=4,
Find
JM.
=6
4
Find x
25
x
=10
What equation can be
formed? g 2  t 2  m2
m
g
t
Find x
x
6
8
=10
Find the leg of the
right triangle:
15
17
x =8
Find x
20
x =12
16
Find x
x  21.63
12
18
Find x
15
15
x
24
15
15
X= 9
12
12
24
Find x
45o
12 2
x
=12
Find x
x 8 2
8
8
x
10 2
10
10
o
o
o
45 -45 -90
5
5
5
2
o
o
o
45 - 45 -90
x  4
8
2
o
o
o
30 -60 -90
60
6
30
x 3 3
o
o
o
30 -60 -90
2
60
x
4
30
An
equilateral
triangle has a
side of 12.
What is its
altitude?
6 3
5 3 x
10
10
10
What kind of
triangle has sides
41, 40 and 9?
Right
What kind of
triangle has
sides of 8, 12
and 18? Obtuse
Complete the given Ratio:
B
a
C
c
b
sin
A
a
A
c
Complete the given Ratio:
B
a
C
c
b
cos
A
b
A
c
Complete the given Ratio:
B
a
C
c
b
a
sin A  c
A
Complete the given Ratio:
B
a
C
c
b
a
tan A  b
A
Complete the given Ratio:
B
a
C
c
b
b
cos A  c
A
Complete the given Ratio:
B
a
C
c
b
b
sin B  c
A
Complete the given Ratio:
B
a
C
c
b
b
tan B  a
A
Complete the given Ratio:
B
a
C
c
b
a
cos B  c
A
Use your Calculator to find…
sin 23 
0.3907
Use your Calculator to find…
62
tan ___
 1.881
Set up a correct ratio to find x:
8
8
sin 29 
x
x
29
Set up a correct ratio to find x:
x
34
18
x
cos34 
18
Set up a correct ratio to find x:
28
x
44
x
tan 44 
28
Set up a correct ratio to find x:
8
8
sin 29 
x
x
29
Solve for x:
x
sin 35 
20
x  11.47
Solve for x:
x
cos 72 
12
x  3.71
Solve for x:
20
sin 64 
x
x  22.25
Solve for x:
11
cos x 
13
x  32.2
Solve for x:
14
tan 41 
x
x  16.11
Solve for x:
17
sin x 
20
x  58.2
Solve for x:
14
tan x 
9
x  57.3
Solve for x:
12
cos 72 
x
x  38.8
Fill in the blank….
cos ___
40  sin 50
What term describes
only the blue polygons?
Convex
What term describes
only the blue polygons?
Regular
What is the
relationship between
an interior and
exterior angle of a
polygon ?
Supplementary
For polygons to “fit”
around a vertex,
the sum of their
interior angles must
be 360
A regular n-gon
has n lines of
symmetry and
rotational of
360/n degrees
Find the sum of
the interior angles
of a decagon:
1440
Find the measure
of 1 interior angle
of a regular 18-gon
160
Find the sum of
the exterior angles
of a 55-gon
360
Find the measure
of one exterior
angle of a regular
24-gon
15
The sum of the
interior angles of
what polygon is
4500? 27-gon
The measure of 1
interior angle of
what regular
polygon is 170?
36-gon
The measure of
1 exterior angle
of what regular
polygon is 8?
45-gon
A regular octagon
has 8 lines of
symmetry and
what degree of
rotation?
45
The sum of its
interior angles is
4 times the sum
of its exterior
angles. decagon
What
regular
polygon is
?
missing
Another hexagon
What
regular
?
polygon
is missing
Another Octagon
What’s the
symmetry of a
regular decagon?
10 lines, 36 degr.
rotational
Find x
(Given a
regular
octagon)
X = 90 degrees
x
What 3 regular
polygons will
tessellate the
plane? (name 1)
Equilateral triangles
Squares
Regular Hexagons
GIVEN : MLNK
M
6.2"
L
3"
52
K
x
FIND x
N
x  6.2
GIVEN : MLNK
M
6.2"
L
x
3"
52
K
FIND x
N
x 3
GIVEN : MLNK
M
6.2"
L
x
3"
52
K
FIND x
N
x  52
GIVEN : MLNK
M
52
K
FIND x
6.2"
L
3"
x
N
x  128
GIVEN : EFGH
F
G
8"
x
E
FIND x
3"
H
x 8
Is the Quadrilateral a
parallelogram?
YES
Is the Quadrilateral a
parallelogram?
YES
Is the Quadrilateral a
parallelogram?
NO
Is the Quadrilateral a
parallelogram?
60
60
NO
Is the Quadrilateral a
parallelogram?
6"
35
35
6"
YES
Is the Quadrilateral a
parallelogram?
72
72
72
YES
Is the Quadrilateral a
parallelogram?
NO
90
Is the Quadrilateral a
parallelogram?
NO
6"
6"
6"
Is the Quadrilateral a
parallelogram?
72
72
108
YES
Describe the
symmetry of an
average
parallelogram...
- No lines
-
o
180 rotational
Complete the
Theorem….
The diagonals of a
BISECT
parallelogram____
EACH
OTHER
________.
Opposite sides of
a parallelogram
are__________.
congruent.
(They are also parallel,
but that is in the definition,
not a theorem.)
If the opposite
angles of a
quadrilateral are
congruent,
then__________
…then the
quadrilateral is a
parallelogram.
Consecutive
angles of a
parallelogram are
____________.
Supplementary.
Always,
Sometimes, or
Never...
The diagonals of a
parallelogram
_________
Always bisect
each other.
A quadrilateral is
Sometimes a
__________
parallelogram,
The End