Which point would map onto itself after a reflection across the line y = –x? (–4, –4) (–4, 0) (0, –4) (4, –4)

answer

(4, –4)

explanation

for a point to map on to itself after a reflection over a given line, that point must be on that very line.

the line y = -x. any point that lies on this line will map on to itself when reflected across this line.

to test for the points that lie on the line y = -x, the points must satisfy the equation.

(–4, –4) ⇒ -4 = - -4

              ⇒ -4 ≠ 4

(–4, 0) ⇒ -4 ≠ -0

(0, –4) ⇒ 0 ≠ - -4

            ⇒ 0 ≠ 4

(4, –4)   ⇒ 4 = - -4

            ⇒ 4 = 4

54

step-by-step explanation:

6x9