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10-7 Polygons and Tessellations
Classify polygons and determine which polygons can form a
tessellation.
Sort the pictures into polygons and not polygons.
T-table
Polygons Not Polygons
Name
Pentagon Hexagon Heptagon Octagon nonagon decagon
# of s
i
d
e
s
P
i
c
t
u
r
e
Regular Polygon—all sides and angles are congruent.
• Draw some examples of regular and non-regular polygons
P 447 example 1 and 2
Your turn a and b
Angle measures
Example 3
Your turn c and d
TESSELLATIONS
• A repetitive pattern of polygons that fit together with no overlaps or holes is called a tessellation.
• http://library.thinkquest.org/16661/gather/gallery/index.html
• Student creations: http://cte.jhu.edu/techacademy/web/2000/heal/tessellations.htm
The sum of the measure of the angles where the vertices meet in a
tessellation is 360 degrees.
• See top of page 448
Example 4
3-2-1
• Picture of 3 polygons with names
• 2 definitions—regular and non-regular polygons
• 1 real world example of a tessellation
Homework
• P 448: 4, 5, 8-18, 21-24