Respuesta :
Answer:
reflection in the y- axis
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y )
Note the x- coordinate is opposite in sign and the y- coordinate remains unchanged.
Thus
(- 4, - 6 ) → (4, - 6 )
(- 6, 4 ) → (6, 4 )
The endpoints have been reflected in the y- axis
We want to see which reflection we need to use to transform the given segment into the desired one.
The correct answer is:
"a reflection of the line segment across the y-axis"
First, we want to change the segment with endpoints at (-4, -6) and (-6, 4) to a segment with endpoints (4, -6) and (6, 4).
Note that the only thing that changes is the x-value of the endpoints, so we need to apply a reflection that only changes the x-value.
That reflection is a reflection across the y-axis.
For a general point (x, y), a reflection across the y-axis transforms the point to (-x, y).
Then the correct option is:
"a reflection of the line segment across the y-axis"
If you want to learn more, you can read:
https://brainly.com/question/15476267