Question

1. what happens if a tessellation pattern is altered by cutting a piece out of one side of a shape and adding it to the other side?

a. the shapes lose their symmetry.
b. the pattern becomes asymmetrical.
c. the pattern can no longer tessellate.
d. the pattern gains a unique touch but can still tessellate.

Explanation:

When a piece is cut from one side of a shape in a tessellation pattern and added to the other side, the overall area and the way the shapes fit together (the tessellation property) remain intact. The key idea is that tessellation depends on the congruency and the way shapes can tile a plane. By moving a part from one side to another (a type of transformation), the new - shaped figure is congruent to the original (in terms of area and the ability to repeat the pattern). So the pattern can still tessellate, just with a different - looking (unique) shape.

Answer:

d. The pattern gains a unique touch but can still tessellate.