The correct answer is a translation.
Explanation:
When reflecting a point across two parallel lines, the overall effect is equivalent to translating the point by twice the distance between the two lines in the direction that is perpendicular to those lines. This is because the first reflection reverses the position of the point across the first line, and the second reflection does the same across the second line, resulting in a shift or translation of the original point.
In contrast:
- A rotation involves turning a figure around a point and does not apply to reflections across parallel lines.
- A dilation involves resizing a figure around a center point and is unrelated to reflections.
- A reflection is one part of the process but does not represent the complete transformation when considering two parallel reflections.
Therefore, reflecting across two parallel lines leads to a translation, which is why the correct response is "a translation."
1 answer