Question

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

translation
horizontal reflection
vertical reflection
180° rotation

Explanation:

A horizontal reflection (also known as a reflection over a horizontal line) flips a figure over a horizontal axis. In the given frieze pattern, if we consider the relationship between the upper - row and lower - row shapes, we can observe that the lower - row shapes are mirror images of the upper - row shapes with respect to a horizontal line (the line separating the two rows). A translation is already excluded. A vertical reflection would flip over a vertical line (not the case here as the pattern doesn't show left - right mirroring). A \(180^{\circ}\) rotation would turn the figure \(180^{\circ}\) around a point (but the orientation of the internal lines and the overall shape's position relative to the adjacent shapes in the row doesn't match a \(180^{\circ}\) rotation).

Answer:

horizontal reflection