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)

Answer 1

To find the reflections of the endpoints (1, 1) and (4, 4) across the y-axis, we need to negate the x-coordinates of the points while keeping the y-coordinates the same.

1. The reflection of (1, 1) across the y-axis is:
\[
(-1, 1)
\]

2. The reflection of (4, 4) 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)**.