Question

1. in the tessellation below, what transformation(s) maps brick a onto brick b?

a rotation followed by translation
reflection followed by a translation
a rotation followed by a reflection
a glide reflection

Explanation:

A glide reflection is a combination of a reflection and a translation. In the given tessellation, Brick A can be mapped onto Brick B by first reflecting it (to get the orientation right) and then translating it (to move it to the position of Brick B). A rotation - followed - by - translation would change the orientation in a different way. A reflection - followed - by - translation is essentially a glide reflection. A rotation - followed - by - reflection would not map the brick in the way shown in the tessellation.

Answer:

a glide reflection