A line segment has endpoints (1, 1)

Question

(
1
,

1
)
and (4, 4)
(
4
,

4
)
. Demonstrating the properties of reflections across the y
y
-axis, what are the reflected endpoints?(1 point)
Responses

(1, −1)
(
1
,

−
1
)
and (4, −4)
(
4
,

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

(−1, 1)
(
−
1
,

1
)
and (4, 4)
(
4
,

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

(−1, −1)
(
−
1
,

−
1
)
and (−4, −4)
(
−
4
,

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

(−1, 1)
(
−
1
,

1
)
and (−4, 4)

Answer 1

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

Given the endpoints of the line segment:

1. The first endpoint is (1, 1). Reflecting this across the y-axis gives us: \[ (-1, 1) \]

2. The second endpoint is (4, 4). Reflecting this across the y-axis gives us: \[ (-4, 4) \]

Thus, the reflected endpoints of the line segment are: \[ (-1, 1) \text{ and } (-4, 4) \]

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