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

The reflecting on the line y = x, we get the reflected points by swapping the coordinates. Options B and C are correct.

What is a reflection of the point?

It is the image of the point which is located in the opposite direction of a given point.

The rule of the refection is given will be

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

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

While reflecting on the line y = x, we get the reflected points by swapping the coordinates. Option C is correct.

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

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

While reflecting on the line y = -x, we get the reflected points by multiplying '-1' with the swapped coordinates. Option B is correct.

More about the reflection of the point link is given below.

https://brainly.com/question/938117