A line segment has endpoints (1, 1)

Question

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 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 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)
left parenthesis negative 1 comma 1 right parenthesis and left parenthesis 4 comma 4 right parenthesis

Answer 1

To reflect a point across the y-axis, you need to change the sign of the x-coordinate, while the y-coordinate remains unchanged.

For the endpoints of the line segment:

1. The first endpoint is (1, 1).

   • Reflecting it across the y-axis:
     • The x-coordinate changes from 1 to -1, so the reflected point is (-1, 1).

2. The second endpoint is (4, 4).

   • Reflecting it across the y-axis:
     • 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) left parenthesis negative 1 comma 1 right parenthesis and left parenthesis negative 4 comma 4 right parenthesis.