Question

What is the rule for the reflection?

Answer 1

Answer:  C. ry=x(x, y) → (y, x)

Step-by-step explanation:

From the given picture, the coordinates of A = (-2,1), B(3,4) and C(-4,1)

and the coordinates of A' =(1,-2), B'(4,3) and C'(1,-4)

We can see that the x and y coordinates of ΔABC has changed their place in ΔA'B'C'.

Therefore, the rule for the given reflection is in option C.

i.e. ry=x(x, y) → (y, x) .

Answer 2

The answer is C because if you put
$x = - 2 \\ y = 1$
Find the reflected two points which are:
$x = 1 \\ y = - 2$
They're just flipped equations