What happens to the angles between vectors during a reflection?

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When considering the reflection of vectors, it's important to understand how geometric transformations like reflections interact with angles. A reflection is a transformation that flips a figure over a specified line or plane, which in two dimensions is often described as flipping over a line.

During a reflection, the relationship between the angles formed between vectors is maintained; this means that the angles between vectors are preserved. The reflection does not alter the size of the angles but instead changes the orientation of the vectors. Specifically, if you have two vectors, reflecting one of them across a line will ensure that the angle between the original vector and the second vector remains the same as the angle between the reflected vector and the second vector.

The choices suggesting that angles are doubled, halved, or inverted imply a change in the measurement of those angles upon reflection, which is not the case. Instead, the angles remain unchanged, leading to the conclusion that the correct answer is that the angles between the vectors are indeed preserved during reflection.

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