Question

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 simply change the sign of the x-coordinate while keeping the y-coordinate the same.

The original endpoints are (1, 1) and (4, 4).
Reflecting the first endpoint (1, 1) across the y-axis, we change the sign of the x-coordinate to get (-1, 1).
Reflecting the second endpoint (4, 4) across the y-axis, we change the sign of the x-coordinate to get (-4, 4).

Therefore, the reflected endpoints across the y-axis are (-1, 1) and (-4, 4).