A line segment has endpoints (1, 1) and (4, 4) . Demonstrating the properties of reflections across the y -axis, what are the reflected endpoints?
A. (1, −1) and (4, −4)
B. (−1, 1) and (4, 4)
C. (−1, −1) and (−4, −4)
D. (−1, 1) and (−4, 4)
To reflect a point across the y-axis, we simply change the sign of the x-coordinate while keeping the y-coordinate the same.
The endpoints of the line segment are (1, 1) and (4, 4).
Reflecting (1, 1) across the y-axis gives us (-1, 1).
Reflecting (4, 4) across the y-axis gives us (-4, 4).
Therefore, the reflected endpoints are (-1, 1) and (-4, 4).
The correct answer is D. (−1, 1) and (−4, 4).