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)
• (-1, - 1) and (-4, - 4)
• (-1, 1) and (-4, 4)
• (-1, 1) and (4, 4)
• (1, - 1) and (4, - 4)
To reflect a point across the y-axis, we replace the x-coordinate with its opposite while keeping the y-coordinate the same.
The first endpoint is (1, 1). After reflecting across the y-axis, the x-coordinate becomes -1 and the y-coordinate stays the same, resulting in (-1, 1).
The second endpoint is (4, 4). After reflecting across the y-axis, the x-coordinate becomes -4 and the y-coordinate stays the same, resulting in (-4, 4).
So the reflected endpoints are (-1, 1) and (-4, 4).
The correct answer is: (-1, 1) and (-4, 4)