A line segment has endpoints (1, 1) and (4, 4) . Demonstrating the properties of reflections across the y -axis, what are the reflected endpoints?
1.(−1, 1) and (4, 4)
2.(−1, 1) and (−4, 4)
3.(1, −1) and (4, −4)
4.(−1, −1) and (−4, −4)
To reflect a point across the y-axis, we need to change the sign of the x-coordinate.
For the point (1, 1), the x-coordinate becomes -1, so the reflected point is (-1, 1).
For the point (4, 4), the x-coordinate becomes -4, so the reflected point is (-4, 4).
Therefore, the reflected endpoints are option 2: (−1, 1) and (−4, 4).