Question

HELP!! In the graph below, line "k" y = -k makes a 45° angle with the x- and y- axes.

Complete the following:

Rx : (2, 5) ⇒




Answers:

A. (2, -5)

B. (-2, 5)

C. (5, 2)

Answer 1

The answer is D. (-5,2)

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)

Answer 2

I believe you are trying to find the coordinates if you reflect the given point (2, 5) over the line y = -x. Is this what you are looking for?

If so, the reflected point would be: (-5, -2). That is probably the missing choice D in the answers that you gave.

If you are looking for something else, please let me know, so I can help.