A line segment has endpoints (1, 1)

Question

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 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 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, the x-coordinate of the point is multiplied by -1, while the y-coordinate remains the same.

Given the endpoints of the line segment are (1, 1) and (4, 4), we reflect each of them:

1. Reflecting (1, 1):

   • x-coordinate: 1 → -1
   • y-coordinate: 1 → 1
   • Reflected point: (-1, 1)

2. Reflecting (4, 4):

   • x-coordinate: 4 → -4
   • y-coordinate: 4 → 4
   • Reflected point: (-4, 4)

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

This corresponds to the response: (−1, 1) and (−4, 4).