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A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –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

Respuesta :

baimalfoy
answer is d. a reflection of the line segment across the line y = xa reflection of the line segment across the line y = -x.

Answer:

a reflection of the line segment across the line y = –x

Step-by-step explanation:

Reflecting across the line y = -x switches the x- and y-coordinates and negates both.  This will map

(-1, 4)→(4, -1)→(-4, 1) and

(4, 1)→(1, 4)→(-1, -4)

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