Question

A line segment has endpoints (1, 1)
(
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 find the reflections of the endpoints (1, 1) and (4, 4) across the y-axis, you simply negate the x-coordinates of each point while keeping the y-coordinates the same.

1. Reflecting the point (1, 1):
- x-coordinate: 1 becomes -1
- y-coordinate: remains 1
- Reflected point: (-1, 1)

2. Reflecting the point (4, 4):
- x-coordinate: 4 becomes -4
- y-coordinate: remains 4
- Reflected point: (-4, 4)

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

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