6th Grade Math Textbook, Fundamentals

Check Your Progress III

Chapter 10 293

Draw the polygon on another piece of paper. Try to make a tessellation

using each polygon. Tell whether the polygon tessellates.

1.Right triangle 2.Regular pentagon 3. 4.

Identify each type of tessellation.

7.Discuss and Write On the preceding page is an example of a tessellation

with equilateral triangles. Can you use scalene or isosceles triangles to

make a tessellation? Explain. Use drawings to justify your reasoning.

Does the nonregular dodecagon (a 12-sided figure) at the

right tessellate?

Yes, the dodecagon can make a tessellation, as shown below.

1

Identify the polygon(s) used to create the tessellation.

Choose a point in the tessellation where four

polygons meet. Identify the figures around that point.

The red dashed circle and the red dot inside should

help you see that around each point there are two

squares and two rhombuses.

So this tessellation was created not with one type

of polygon, but with two different types of polygons.

You do not have to use copies of just one type

of polygon to make a tessellation.

2

Lesson 10-11 for exercise sets.