Download Fourth Six Weeks Review

Fourth Six
Weeks’ Test
Review
For the purposes of
this presentation...
Assume that
triangles which
appear to be right
triangles are.
Assume that lines
that appear to be
perpendicular are.
4
25
x
=10
The
Pythagorean
Theorem
x
6
8
=10
x  21.63
12
18
20
x =12
16
15
15
x
24
15
15
X= 9
12
12
24
Special Right
Triangles
45o
12 2
x
=12
x
10 2
10
10
20
x
o
30
 10
y  10
3
5 3 x
10
10
10
Find the Geometric
mean between 4
and 25.
=10
NM=9,
MK=4,
Find
JM.
=6
What equation can be
formed? g 2  t 2  m2
m
g
t
What kind of
triangle has sides
41, 40 and 9?
Right
What kind of
triangle has
sides of 8, 12
and 18? Obtuse
Find the leg of the
right triangle:
15
17
x =8
Find x
x 8 2
8
8
An
equilateral
triangle has a
side of 12.
What is its
altitude?
6 3
Which ratio is:
The opposite leg
over the
hypotenuse?
The Sine
Ratio
Which ratio is:
The adjacent leg
over the
hypotenuse?
The Cosine
Ratio
What makes up
the tangent
ratio?
The opposite
leg over the
adjacent leg
Set Up the Trig
ratio to find x
x
cos 28 
20
20
o
28
x
 17.66
9
sin 50 
x
9
x
 11.75
o
50
21
x
32
Tan x = 21/32
21
x
32
tan
21
1
 21 

x
 32 
33.27  x
32
What’s true about
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?
Equilateral triangles
Regular Hexagons
Squares
Which special
quadrilateral has
the symmetry
described...
- No lines
-
o
180 rotational
Answer:
Parallelogram
Complete the
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,
Sometimes, or
Never...
The diagonals of a
parallelogram
____ bisect each
other.
Always
A quadrilateral is
_____ a
parallelogram,
Sometimes
The End