Identify the transformations that preserve distance and those that do not for the given figures.
Understand the Problem
The question is asking for an identification and categorization of transformations shown in two sets of geometric figures, specifically determining which transformations preserve distance and which do not.
Answer
Reflection preserves distance; dilation does not.
The first transformation is a reflection and preserves distance. The second transformation is a dilation and does not preserve distance.
Answer for screen readers
The first transformation is a reflection and preserves distance. The second transformation is a dilation and does not preserve distance.
More Information
Rigid transformations like translation, rotation, and reflection preserve both distance and angle, while non-rigid transformations like dilation do not.
Tips
Common mistakes include misidentifying dilations as rigid transformations. Remember: dilation changes size.
Sources
- Unit 5: Transformations in the Coordinate Plane - henry.k12.ga.us
- What transformation preserves distance and angle measures? - Quora - quora.com
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