10 7 Polygons And Tessellations

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