Question

1. other than translation, what transformation is used to create this frieze pattern?

glide reflection
90° rotation
vertical reflection
horizontal reflection

Explanation:

A glide reflection is a combination of a reflection and a translation. In a frieze pattern, if there is a shift (translation - like movement) along with a flip (reflection - like operation), it is a glide reflection. A \(90^{\circ}\) rotation would change the orientation of the pattern more drastically (not seen here). A vertical reflection would flip over a vertical line (not the case as the pattern seems to have a shift along with a flip). A horizontal reflection would flip over a horizontal line (again, the key is the combination of shift and flip which is glide reflection).

Answer:

glide reflection