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 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 (−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)

Answer 1

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

The original endpoints of the line segment are (1, 1) and (4, 4).

1. Reflected point of (1, 1):

   • The x-coordinate changes from 1 to -1, so the reflected point is (-1, 1).

2. Reflected point of (4, 4):

   • The x-coordinate changes from 4 to -4, so the reflected point is (-4, 4).

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

The correct response is: (−1, 1) and (−4, 4).