Download Question 5d Polygon # of sides Measure of an Angle Angle Sum

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Final Jeopardy
Find the
Missing
Angle
Parallel Lines
& Transversal
Lines
Triangles
Polygons
Vocabulary
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10 Point
10 Point
10 Point
10 Point
20 Points
20 Points
20 Points
20 Points
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30 Points
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Below is a triangle with a
missing angle. Find the
missing angle:
Missing
Angle
30 °
Given angles:
90 ° + 30 ° = 120 °
All angles in a triangle add
up to 180 °
180 ° - 120 ° = 60°
60° = Missing Angle
Below is a quadrilateral.
Find the 2 (a & b) missing angles:
120°
a
60°
b
All quadrilaterals have an
angle sum of 360 °.
Therefore, a = 60 ° and
b = 120 °. These angles
are equal to the opposite
angle.
60 + 60 + 120 + 120 = 360 °
Find the missing angles
for the regular polygon
below.
Angle sum = 1,080°
Since this is a regular polygon, we
know that all angles and sides are
equal. Since this is an OCTAGON
= 8 sided figure, we can easily find
the missing angle. Therefore, you
take
1,080 ° / 8 = 135 °
Each angle of the octagon = 135 °
Find the exterior angles (a,
b, and c) of the triangle
below.
b
60°
a
30 °
c
By looking at the triangle, we know
that the interior angle + the
exterior angle = 180 °
(straight line)
180 ° - 90 ° = 90 ° = a
180 ° - 60 ° = 120 ° = b
180 ° - 30 ° = 150 ° = c
Find the missing
angle (x) in the
quadrilateral.
93
70
X
135
All interior angles in a
quadrilateral add up to
360.
93 + 70 + 135 = 298
360 - 298 =
62 = X
Define Parallel
Lines
Parallel Lines: Lines in a
plane that never meet. The
opposite sides of a regular
hexagon are parallel.
Define Transversal
Line
Transversal Line: A line that
intersects two or more lines.
Find the missing
angles.
120
60
120
60
120
20
90
90+ 60 = 150
180-150 = 30
60
30
Draw and define
right triangle.
Right Triangle: A
triangle with one
right angle and two
acute angles.
Define and draw a
Isosceles Triangle.
Isosceles Triangle:
a triangle with two
sides the same
length.
Draw and define
what an equilateral
triangle is.
Equilateral
Triangle: a triangle
with all three sides
the same length.
Draw and define a
Scalene Triangle.
Scalene Triangle: A
triangle with no side
lengths equal.
How much do all
the interior angles
ALWAYS add up to
in a triangle?
All interior angles
in a triangle add
up to 180.
I am a polygon
with 5 sides. Who
am I?
I am a Pentagon!
If you take all of my
interior angles and add
them together you get 720.
What polygon am I?
I am a Hexagon - 6
sided figure.
I am a regular nonagon (9sided figure). All of angles
are 140. What is the angle
sum for my shape?
9 x 140 = 1,260
How could you find
out what the angle
sum for a pentagon
is without using a
protractor?
Starting from the triangle,
the angle sum increases by
180 with each addition side.
Fill in the missing parts of
the chart.
Polygon
Triangle
Square
Pentagon
# of sides
3
Measure of an
Angle
60
Angle Sum
180
Polygon
# of sides
Measure of an
Angle
Angle Sum
Question 5d
Triangle
3
60
180
Square
4
90
360
Pentagon
5
108
540
Define and draw
an Obtuse Angle.
Obtuse Angle: An angle
whose measure is greater than
90 and less then 180
Define and draw an
acute angle.
Acute Angle: an
angle whose
measure is less than
90
Define and draw a
parallelogram.
Parallelogram: a
quadrilateral with opposite
sides parallel. Both pairs of
opposite angles are all equal.
What word goes with this definition?
A polygon that has all of its sides equal
and all of its angles equal.
The hexagon below is regular,
but the pentagon is not regular,
because its sides and its angles
are not equal.
Regular Polygon
What are the 2
types of
symmetry? Draw
pictures.
Rotational Symmetry: a shape has rotation symmetry
if it can be rotated less than a full turn about its center
point to a position where it looks exactly as it did before
it was rotated.
Reflection Symmetry: a shape with reflection symmetry
has two halves that are mirror images of each other.
Make your wager
EXIT TICKET: Look at the set of shapes. List 2
ways you could separate the shapes into groups.
Describe how you decided to separate them.
A
E
F
D
H
C
B
I
G
J
K
Final Question