✓ Lesson Check

Do you know HOW?

1. What is the repeating figure in this tessellation? What transformation does the tessellation use?

   

2. Does a regular 15-gon tessellate? Explain.

3. What types of symmetry does the tessellation below have?

   

Do you UNDERSTAND?

4. Vocabulary A tessellation has translational symmetry. Must the tessellation also have glide reflectional symmetry? Explain.
5. Reasoning If you arrange three regular octagons so that they meet at one vertex, will they leave a gap or will they overlap? Explain.
6. Error Analysis A classmate says that a regular n-gon will tessellate if 3 ≤ n ≤ 6 . 3 less than or equal to . n less than or equal to 6 .  Explain your classmate's error.

7. Open-Ended Copy the parallelogram below and use it to make two different tessellations.