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 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

(1, −1)
and (4, −4)

Answer 1

To reflect a point across the y-axis, you keep the y-coordinate the same and change the sign of the x-coordinate.

Given the endpoints:
- For the point (1, 1), its reflection across the y-axis is (-1, 1).
- For the point (4, 4), its reflection across the y-axis is (-4, 4).

Thus, the reflected endpoints are:
**(−1, 1) and (−4, 4)**.

So the correct response is:
**(−1, 1) and (−4, 4)**.