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, we need to reflect each point individually across the Y-axis.

A reflection across the Y-axis means that the x-coordinate of each point will be negated while the y-coordinate remains the same.

The first endpoint is (1, 1).
To reflect this point across the Y-axis, we negate the x-coordinate: (-1, 1)

The second endpoint is (4, 4).
To reflect this point across the Y-axis, we negate the x-coordinate: (-4, 4)

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