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)
The correct answer is 2. (-1, 1) and (-4, 4).
To reflect a point across the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate the same.
For the first endpoint (1, 1), reflecting it across the y-axis gives us (-1, 1).
For the second endpoint (4, 4), reflecting it across the y-axis gives us (-4, 4).
Therefore, the reflected endpoints are (-1, 1) and (-4, 4).