Question

What is the rule for the reflection? ry=x(x, y) → (–y, –x) ry=–x(x, y) → (–y, –x) ry=x(x, y) → (y, x) ry=–x(x, y) → (y, x)

Answer 1

We have to identify the rules of reflection.

Firstly, the rule for reflecting a point about the line y=x is:

$r_{y=x}(x,y)=(y,x)$

While reflecting about the line y=x, we get the reflected points by swapping the coordinates.

So, Option 3 is correct.

Now, the rule for reflecting a point about the line y= -x is:

$r_{y=-x}(x,y)=(-y,-x)$

While reflecting about the line y= -x, we get the reflected points by multiplying '-1'  with the swapped coordinates.

So, Option 2 is correct.

Answer 2

Letter C is the correct answer