Question

Translations and Reflections Quick Check
3 of 53 of 5 Items
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 negative 1 comma 1 right parenthesis and left parenthesis 4 comma 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)

Answer 1

To find the reflected endpoints of the line segment across the y-axis, you need to change the sign of the x-coordinates of each endpoint, while keeping the y-coordinates the same.

The original endpoints are:
- (1, 1)
- (4, 4)

Reflecting each point across the y-axis:
- The reflection of (1, 1) is (-1, 1)
- The reflection of (4, 4) is (-4, 4)

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

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