Question
Which of the following is not a rigid transformation?
Check all that are true.
(1) Reflection
(1) Preimage
(1) Translation
(1) Rotation
Check all that are true.
(1) Reflection
(1) Preimage
(1) Translation
(1) Rotation
Ask by Carrillo Daniel. in South Africa
Mar 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The preimage is not a rigid transformation.
Solution
- A rigid transformation is a transformation that preserves the size and shape of a figure (i.e., distances and angles remain the same).
- The rigid transformations from the list are:
-
- The term “Preimage” refers to the original figure before any transformation is applied, and is not itself a transformation.
Thus, the answer is:
- Preimage
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Simplify this solution Beyond the Answer
A preimage is not a rigid transformation! Rigid transformations, like reflections, translations, and rotations, preserve distances and angles, keeping the shape intact. On the other hand, a preimage refers to the original figure before any transformation has occurred, so it doesn’t fit the definition of a transformation at all!
When dealing with rigid transformations, it’s exciting to see how they can help solve problems in geometry, like congruency questions or creating tessellations. Just remember, only the transformations that keep the shape and size unchanged—reflections, translations, and rotations—make the cut when we talk about rigid transformations!
