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Question
- other than translation, what transformation is used to create this frieze pattern? vertical reflection glide reflection horizontal reflection 180° rotation
A glide reflection is a combination of a translation (sliding) and a reflection. In a frieze pattern like this one (foot - step pattern), we can observe that each "foot - step" unit is not just a simple reflection (vertical or horizontal) or rotation. If we consider one "foot - step" pair, we can see that it is first reflected (in a way that combines a flip and a slide). A vertical reflection would flip over a vertical line, a horizontal reflection over a horizontal line, and a \(180^{\circ}\) rotation would turn the figure around a point by \(180^{\circ}\). But for a frieze pattern of foot - steps (where each "step" seems to be a combination of moving forward and flipping), glide reflection is the appropriate transformation.
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glide reflection