Question

Which transformation represents a reflection over the y = x line?

Answer 1

Answer:

Option c. (x, y) → (y , x)

Step-by-step explanation:

we know that

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places

Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure

so

The rule of the reflection across the line y=x is

(x,y) → (y,x)

Answer 2

Answer:

c. $(x,y)\rightarrow (y,x)$.

Step-by-step explanation:

We are asked to find the transformation rule that represents a reflection over the $y=x$ line.

We know that when we reflect a point across the line $y=x$, the x and y coordinates change their place.

The point (x,y) on the image will be (y,x) after a reflection across the line $y=x$.

Therefore, our required rule would be $(x,y)\rightarrow (y,x)$.