Which of these transformations preserves distance and angle measure. A : translations. B : reflections C : dilations D : rotations
Mathematics · Middle School · Mon Jan 18 2021
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The transformations that preserve distance and angle measure are:
D. Rotations
Rotations are transformations that involve turning an object around a fixed point (the center of rotation). During a rotation, both distance and angle measures are preserved. The shape and size of the object remain the same; only the orientation changes.
The other transformations have specific effects on distance and angle measures:
- A. Translations involve shifting an object without changing its shape or orientation but do not preserve angle measures.
- B. Reflections involve flipping an object across a line, preserving distance but not necessarily angle measures.
- C. Dilations involve scaling an object, preserving angle measures but not necessarily distance.