What is the result of reflecting a point across a line?

When a point is reflected across a line, it is flipped over that line to create a mirror image. This means the point moves to a new location that is directly opposite its original position in relation to the line. The distance from the original point to the line is the same as the distance from the line to its new location after reflection. This property preserves the perpendicular distances from the point to the line, ensuring that the reflection acts as a mirror reflection.

For instance, if you have a point located at (3, 2) and you reflect it across a horizontal line, the new point will have its y-coordinate adjusted in a way that places it directly opposite the line, while the x-coordinate stays the same. This transformation establishes a direct line segment between the original point and the reflected point that is perpendicular to the line.

The other choices do not accurately describe the reflection process. The point does not stay unchanged, does not undergo rotation, and does not translate parallel to the line. Each of these options suggests a different type of geometric transformation that does not align with the definition of reflection.