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 1 right parenthesis and left parenthesis 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)

Answer 1

To find the reflected endpoints of a line segment across the y-axis, we change the sign of the x-coordinates of the endpoints while keeping the y-coordinates the same.

Given the endpoints of the line segment are (1, 1) and (4, 4):

1. Reflect (1, 1):
- x-coordinate changes from 1 to -1
- y-coordinate remains 1
- Reflected point: (-1, 1)

2. Reflect (4, 4):
- x-coordinate changes from 4 to -4
- y-coordinate remains 4
- Reflected point: (-4, 4)

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

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