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?(1 point) Responses (−1, −1) and (−4, −4) left parenthesis negative 1 comma negative 1 right parenthesis  and  left parenthesis negative 4 comma negative 4 right parenthesis (1, −1) and (4, −4) left parenthesis 1 comma negative 1 right parenthesis  and  left parenthesis 4 comma negative 4 right parenthesis (−1, 1) and (4, 4) left parenthesis negative 1 comma 1 right parenthesis  and  left parenthesis 4 comma 4 right parenthesis (−1, 1) and (−4, 4) left parenthesis negative 1 comma 1 right parenthesis  and  left parenthesis negative 4 comma 4 right parenthesis

Answer 1

The reflected endpoints of the line segment with original endpoints (1, 1) and (4, 4) across the y-axis are (-1, 1) and (-4, 4).

Step-by-step explanation:

To find the reflected endpoints of the line segment with endpoints (1, 1) and (4, 4) across the y-axis, we need to change the sign of the x-coordinates while keeping the y-coordinates the same.

This is because when a point is reflected across the y-axis, its distance from the y-axis is preserved, but the direction (left or right side of the y-axis) is reversed.

So the new x-coordinate for the first endpoint (1, 1) becomes -1, but the y-coordinate remains unchanged, resulting in the reflected endpoint (-1, 1). Similarly, for the second endpoint (4, 4), the reflected endpoint becomes (-4, 4). Therefore, the reflected endpoints are (-1, 1) and (-4, 4).