a line segment has endpoints (1,1) and (4,4). demonstrating the properties of reflections across the y-axis, what are the reflected endpoints

Answer 1

To reflect a point across the y-axis, we change the sign of its x-coordinate while keeping the y-coordinate the same.

The first endpoint of the line segment is (1, 1).
Reflecting this point across the y-axis, the x-coordinate becomes -1 while the y-coordinate remains the same. Therefore, the reflected first endpoint is (-1, 1).

The second endpoint of the line segment is (4, 4).
Reflecting this point across the y-axis, the x-coordinate becomes -4 while the y-coordinate remains the same. Therefore, the reflected second endpoint is (-4, 4).