Question

1. other than translation, what transformation is used to create this frieze pattern? horizontal reflection vertical reflection translation 180° rotation

Explanation:

A horizontal reflection (or horizontal flip) is a transformation that reflects a figure over a horizontal line (like flipping it over a horizontal axis). In the given frieze pattern, if we consider the top - row elements and the bottom - row elements, we can observe that the bottom - row elements are the mirror images of the top - row elements with respect to a horizontal line (the line separating the two rows). A vertical reflection would flip over a vertical line (which is not the case here as the pattern is not symmetric about a vertical line between columns). Translation is already excluded. A \(180^{\circ}\) rotation would turn the figure \(180^{\circ}\) around a point (but the orientation of the pattern elements with respect to each other is more consistent with a horizontal reflection rather than a rotation).

Answer:

horizontal reflection