Subjects geometry

Transformations Preservation 399B15

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1. **Problem statement:** We have a sequence of transformations: a translation, a reflection over line $\overleftrightarrow{PQ}$, and a reflection over line $\overleftrightarrow{RS}$. We need to determine which properties are preserved after these transformations. 2. **Recall properties of transformations:** - A **translation** moves every point the same distance in the same direction. It preserves both angle measures and segment lengths. - A **reflection** flips points over a line. It also preserves both angle measures and segment lengths. 3. **Sequence of transformations:** - Since each individual transformation preserves angle measures and segment lengths, their composition (sequence) also preserves these properties. 4. **Conclusion:** - Both angle measures and segment lengths are preserved under the given sequence of transformations. **Final answer:** C Both angle measures and segment lengths