In the graph below, line k with equation y = -k makes a 45° angle with the x- and y- axes.
complete the following:
rx rk : (2,5)
(-2, -5)
(2, -5)
(-5, 2)

D. (-5,2)

Step-by-step explanation:

1st reflection = reflection across the line k with the rule:

(x,y)→(-y,-x)

So,

(2,5)→(-5,-2)

2nd reflection = reflection across the x-axis with the rule

(x,y)→(x,-y)

So,

(-5,-2)→(-5,2)

After two consecutive reflections

(2,5)→(5,2)

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