A line segment has endpoints (1, 1) and (4, 4). Demonstrating the properties of reflections across the y-axis, what are the reflected endpoints?(1 point)
To reflect a point across the y-axis, we change the sign of its x-coordinate while keeping the y-coordinate the same.
Given the endpoints (1, 1) and (4, 4), we need to reflect each point across the y-axis.
- For the point (1, 1), its reflected point will be (-1, 1).
- For the point (4, 4), its reflected point will be (-4, 4).
Therefore, the reflected endpoints of the line segment are (-1, 1) and (-4, 4).
The reflection of a point across the y-axis can be obtained by changing the sign of its x-coordinate.
The original endpoints are (1, 1) and (4, 4).
The reflection of (1, 1) across the y-axis would have an x-coordinate of -1, and the y-coordinate remains the same. Therefore, the reflected endpoint is (-1, 1).
Similarly, the reflection of (4, 4) across the y-axis would have an x-coordinate of -4, and the y-coordinate remains the same. Therefore, the reflected endpoint is (-4, 4).