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 find the reflected endpoints of the line segment across the y-axis, we need to negate the x-coordinates while keeping the y-coordinates the same.

The original endpoints are (1,1) and (4,4).

For the first endpoint:
Reflecting across the y-axis changes the sign of the x-coordinate, so the first endpoint becomes (-1,1).

For the second endpoint:
Reflecting across the y-axis changes the sign of the x-coordinate, so the second endpoint becomes (-4,4).

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