Tessellations Activity - Does it Tessellate?

Topic:
Geometry
For each of the following sets, use the Geogebra app to determine whether the shapes tessellate. If so, create the pattern. Open multiple windows of the app so that you don't have to delete your work!
  1. Use the triangle icon to try to tessellate with only triangles.
  2. Use triangle and square icon to try to tessellate with triangles and squares
  3. Use the pentagon icon to try to tessellate with only pentagons.
  4. Use triangle and hexagon icon to try to tessellate with triangles and hexagons
  5. Use any two icons to try to tessellate with any of the two available shapes.

Big idea: Why do certain patterns work and others don't?