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)

(−1, 1)
and (4, 4)

(−1, 1) and (−4, 4)

(−1, −1) and (−4, −4)

Answer 1

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

For the endpoint (1, 1):

• The reflected point is (-1, 1).

For the endpoint (4, 4):

• The reflected point is (-4, 4).

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

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