Fourth Six Weeks Test Review

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Fourth Six Weeks Test Review
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For the purposes of this presentation...
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Assume that triangles which appear to be right
triangles are.
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Assume that lines that appear to be perpendicular
are.
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4
25
x
10
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The Pythagorean Theorem
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x
10
6
8
8
21.63
x
12
18
9
20
x
12
16
10
15
15
x
24
11
15
15
X 9
12
12
24
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Special Right Triangles
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45o
12
x
14
x
10
10
15
20
x
30o
y
16
10
10
x
10
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Find the Geometric mean between 4 and 25.
10
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NM9, MK4, Find JM.
6
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What equation can be formed?
m
g
t
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What kind of triangle has sides 41, 40 and 9?
Right
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What kind of triangle has sides of 8, 12 and 18?
Obtuse
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Find the leg of the right triangle
15
x
8
17
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Find x
8
x
8
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An equilateral triangle has a side of 12. What
is its altitude?
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Which ratio is The opposite leg over the
hypotenuse?
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The Sine Ratio
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Which ratio is The adjacent leg over the
hypotenuse?
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The Cosine Ratio
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What makes up the tangent ratio?
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The opposite leg over the adjacent leg
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Set Up the Trig ratio to find x
32
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28o
x
33
x
9
50o
34
21
x
32
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Tan x 21/32
21
x
32
36
21
x
32
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Whats true about an interior and exterior angle
of a polygon?
Supplementary
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For polygons to fit around a vertex, the sum of
their interior angles must be
360
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A regular n-gon has lines of symmetry and
rotational of
n
360/n degrees
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Find the sum of the interior angles of a decagon
1440
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Find the measure of 1 interior angle of a regular
18-gon
160
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Find the sum of the exterior angles of a 55-gon
360
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Find the measure of one exterior angle of a
regular 24-gon
15
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The sum of the interior angles of what polygon is
4500?
27-gon
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The measure of 1 interior angle of what regular
polygon is 170?
36-gon
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The measure of 1 exterior angle of what regular
polygon is 8?
45-gon
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A regular octagon has 8 lines of symmetry and
what degree of rotation?
45
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The sum of its interior angles is 4 times the sum
of its exterior angles.
decagon
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What regular polygon is missing
?
Another hexagon
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What regular polygon is missing
?
Another Octagon
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Whats the symmetry of a regular decagon?
10 lines, 36 degr. rotational
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Find x (Given a regular octagon)
x
X 90 degrees
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What 3 regular polygons will tessellate the plane?
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Equilateral triangles
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Regular Hexagons
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Squares
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Which special quadrilateral has the symmetry
described...
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- No lines - 180o rotational
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Answer Parallelogram
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Complete the Theorem.
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The diagonals of a parallelogram_________.
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bisect each other.
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Opposite sides of a parallelogram are__________.
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congruent.
(They are also parallel, but that is in the
definition, not a theorem.)
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If the opposite angles of a quadrilateral are
congruent, then__________
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then the quadrilateral is a parallelogram.
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Consecutive angles of a parallelogram are
____________.
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Supplementary.
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Always, Sometimes, or Never...
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The diagonals of a parallelogram ____ bisect each
other.
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Always
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A quadrilateral is _____ a parallelogram,
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Sometimes
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The End