Define rotations, reflections, and translations using geometric language: angles, circles, perpendicular/parallel lines, and segments.
Identify the missing defining detail in a transformation description
Problem
What information is missing from this transformation description: rotate the figure \(90^{\circ}\)?
Big Picture
What this problem is really about
A transformation description is complete only if it produces one unique image for every point. Inventory what a rotation needs—a fixed reference point, a directed angle, and the preserved radius—then compare that list with the information supplied and ask whether changing any unspecified datum would change the image.
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