A line segment has endpoints (1,1) and (4,4). Demonstrating the properties of reflections across the y axis, what are the reflected endpoints?
To find the reflected endpoints across the y-axis, we need to change the sign of the x-coordinate while keeping 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 and keep the y-coordinate the same. Therefore, the reflected first endpoint is (-1, 1).
The second endpoint is (4,4). Reflecting this point across the y-axis, we change the sign of the x-coordinate and keep the y-coordinate the same. Therefore, the reflected second endpoint is (-4, 4).
Hence, the reflected endpoints across the y-axis are (-1, 1) and (-4, 4).