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 change the sign of its x-coordinate and keep the y-coordinate the same.
The first endpoint is (1,1). Reflecting this point across the y-axis, we change the sign of the x-coordinate, resulting in (-1,1).
The second endpoint is (4,4). Reflecting this point across the y-axis, we change the sign of the x-coordinate, resulting in (-4,4).
Therefore, the reflected endpoints are (-1,1) and (-4,4).
The correct answer is option a) (-1,1) and (-4,4).