In the graph below, line “k” y= -k makes a 45 degree angle with the x and y axes. Complete the following:Rx:(2,5) —>A) (2,-5)B)(-2,5)C)(5,2)

Answer with explanation:The line , y = - x,makes an angle of 45 degree with the x and y axis means 135  degree with positive direction of x axis.When point (p,q) is reflected over the line , y=x,the coordinates of reflected point will be (q,p)And, when point (p,q) is reflected over the line , y= -x, the coordinates of reflected point will be (-q, -p).So,when point (2,5) is reflected over the line , y= - x, the coordinates of reflected point will be (-5,-2).If reflected over line , y=x ,the point (2,5) will transform to (5,2).Now, [tex]R_{x}(2,5)[/tex] means reflection over x axis gives coordinates of new point (2, -5), point in fourth Quadrant.If these points reflected over line , y= -x ,givesA) (2, -5)→ (5, -2)B) (-2,5)→(-5, 2)C) (5,2)→(-2,-5)