Translations and Reflections Quick Check

Question

4 of 54 of 5 Items
Question
A line contains the points (6,−3)
and (3, 1)
. When this line is reflected across the y
-axis, what are the two new points?(1 point)
Responses

(−6,−3)
and (3, 1)
left parenthesis negative 6 comma negative 3 right parenthesis and left parenthesis 3 comma 1 right parenthesis

(−6,−3)
and (−3, 1)
left parenthesis negative 6 comma negative 3 right parenthesis and left parenthesis negative 3 comma 1 right parenthesis

(−6, 3)
and (−3, −1)
left parenthesis negative 6 comma 3 right parenthesis and left parenthesis negative 3 comma negative 1 right parenthesis

(6, 3)
and (3, −1)
left parenthesis 6 comma 3 right parenthesis and left parenthesis 3 comma negative 1 right parenthesis

Answer 1

To find the new points after reflecting the given points (6, -3) and (3, 1) across the y-axis, we change the sign of the x-coordinates of the points while keeping the y-coordinates the same.

1. For the point (6, -3):

   • The reflection across the y-axis is (-6, -3).

2. For the point (3, 1):

   • The reflection across the y-axis is (-3, 1).

So, after reflection, the two new points are (-6, -3) and (-3, 1).

The correct response is: (−6,−3) and (−3, 1).