Question

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

Answer 1

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 original endpoints are: (1,1) and (4,4)

For reflection across the y-axis:
- The x-coordinate of (1,1) becomes -1, and the y-coordinate remains 1. So, the reflected endpoint is (-1,1).
- The x-coordinate of (4,4) becomes -4, and the y-coordinate remains 4. So, the reflected endpoint is (-4,4).

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