Interior and Exterior Angles
Exterior
Angle
Interior Angle
Exterior Angle
Interior and Exterior Angles
Let n represent the number of sides
(and angles) in a regular polygon
The number of triangles in a polygon
is always 2 less than the number of
sides. The total interior angle sum is
the number of triangles times 180.
So, the formula for the sum in terms
of n is: (n  2) 180o
And since n also represents the
number of angles, then a formula for
the measure of each interior angle in
terms of n is:
(n  2)  180o
n
SDA chooses you as the architect for our new
theater. Your scale model for the building is in
the shape of a rectangular prism. The sides of
the actual building are 50 times longer than
the model. If the volume of your model is 3
ft3, what will be the volume for the new
building?
The scale factor of the actual theater to the model is 50.
Volume Actual  50  3 ft 3
3
Volume Actual  375,000 ft
3
Tessellation
Tessellation
Tessellation
Can any triangle tessellate a plane?
Tessellation
Can any triangle tessellate a plane?
b
a
c
c
a
b
b
a
Tessellation
Can any quadrilateral tessellate a plane?
d
d
c
a
b
b
a
Tessellation
Tessellation
Tessellation
Tessellation
Tessellation
Tessellation
Tessellation
Tessellation
Tessellation
Project Scoring Guide
Score
Underlying Circle Grid
Tessellating Pattern
10
The circles are visible, clear, and neat
with no mistakes.
The pattern is clear, original, and
creative. The most exceptional in design
and execution.
9
The circles are visible and clear with very The pattern is clear and precise. There is
few mistakes.
an element of artistic creativity and
originality in the design.
8
The circles are visible but somewhat
hidden and there are some mistakes.
The pattern is clear and precise. The
tessellation is original.
7
The circles are less visible and there are
several mistakes.
The pattern is clear and the tessellation
is precise.
6
The circles are muddled and there are
mistakes that carry through the entire
design.
There is a tessellating pattern but the
execution is messy or the execution
might be neat but the pattern is lacking.
5
The tessellation has been attempted but The tessellation has been attempted but
there isn’t a clear pattern and the design
there isn’t a clear pattern and the
is messy.
design is muddled.