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 ,gives
A) (2, -5)→ (5, -2)
B) (-2,5)→(-5, 2)
C) (5,2)→(-2,-5)
