Question

A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4)? a reflection of the line segment across the x-axis a reflection of the line segment across the y-axis a reflection of the line segment across the line y = x a reflection of the line segment across the line y = –x

Answer 1

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

Answer 2

Answer: B

Step-by-step explanation: cause