fourth six weeks’ test review. find the geometric mean between 4 and 25. =10
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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
25x =10
Find x
What equation can be formed?
g
t
m
2 2 2g t m
6
8
x =10
Find x
Find the leg of the right triangle:
15
17
x =8
20
16
x=12
Find x
12
18
x 21.63Find x
1515
24
x
Find x
1515
24
X= 9
1212
45o
x
12 2
=12
Find x
Find x
8
8
x 8 2
x
10
1010 2
4545oo-45-45oo-90-90oo
55 55
55
2
8
x 4 2
4545oo- 45- 45oo--9090oo
3030oo-60-60oo-90-90oo
30
60
3 3
6
x
3030oo-60-60oo-90-90oo
30
60 4x2
An equilateral triangle has a side of 12. What is its altitude?
6 3
10 10
10
x5 3
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:
sin
C
B
A
c
b
a
aA
c
Complete the given Ratio:
cos
C
B
A
c
b
a
bA
c
Complete the given Ratio:
sin A
C
B
A
c
b
a
a
c
Complete the given Ratio:
tan A
C
B
A
c
b
a
a
b
Complete the given Ratio:
cos A
C
B
A
c
b
a
b
c
Complete the given Ratio:
sin B
C
B
A
c
b
a
b
c
Complete the given Ratio:
tan B
C
B
A
c
b
a
b
a
Complete the given Ratio:
cos B
C
B
A
c
b
a
a
c
Use your Calculator to find…
sin 23 0.3907
Use your Calculator to find…
tan ___ 1.88162
Set up a correct ratio to find x:
29
8x
8sin 29
x
Set up a correct ratio to find x:
cos3418
x
34 18x
Set up a correct ratio to find x:
tan 4428
x44
28
x
Set up a correct ratio to find x:
29
8x
8sin 29
x
sin 3520
x
Solve for x:
11.47x
cos7212
x
Solve for x:
3.71x
20sin 64
x
Solve for x:
22.25x
11cos
13x
Solve for x:
32.2x
14tan 41
x
Solve for x:
16.11x
17sin
20x
Solve for x:
58.2x
14tan
9x
Solve for x:
57.3x
12cos72
x
Solve for x:
38.8x
Fill in the blank….
cos ___ sin 50 40
What term describes only the blue polygons?
Convex
Regular
What term describes only the blue polygons?
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 lines of symmetry and rotational of360/n degrees
n
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
X = 90 degrees
What 3 regular polygons will tessellate the plane? (name 1)
Equilateral triangles
Squares
Regular Hexagons
x
52
6.2"
3"
NK
LM
:GIVEN MLNK
FIND x 6.2x
x
52
6.2"
3"
NK
LM
:GIVEN MLNK
FIND x 3x
:GIVEN MLNK
FIND x
x
52
6.2"
3"
NK
LM
52x
:GIVEN MLNK
FIND x
x52
6.2"
3"
NK
LM
128x
x 3"
8"
HE
GF
:GIVEN EFGH
FIND x 8x
Is the Quadrilateral a parallelogram?
YES
Is the Quadrilateral a parallelogram?
YES
Is the Quadrilateral a parallelogram?
NO
Is the Quadrilateral a parallelogram?
NO60
60
Is the Quadrilateral a parallelogram?
YES
6"
6"
35
35
Is the Quadrilateral a parallelogram?
YES
72
72
72
Is the Quadrilateral a parallelogram?
NO
90
Is the Quadrilateral a parallelogram?
NO
6"6"
6"
Is the Quadrilateral a parallelogram?
YES
108
72
72
Describe the symmetry of an average parallelogram...
- No lines
- 180o rotational
Complete the Complete the Theorem….Theorem….
The diagonals of a parallelogram____________.
BISECT
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, Always, Sometimes, or Sometimes, or Never...Never...
The diagonals of a parallelogram _________ bisect each other.
Always
A quadrilateral is __________ a parallelogram,Sometimes
The End