Question

Answer choices- (-1, -6) and (-3,-2) (6,-1) and (2,-3) (1,-6) and (3,-2) (-6, 1) and (-2, 3)

Answer 1

From the diagram we have a line with the following endpoints;

`\begin{gathered} A=(-3,2) \\ B=(-1,6) \end{gathered}`

The rule for reflecting across the line

`y=x`

is such that the x-coordinates and the y-coordinates switch places.

This means, for the points identified above, after reflecting across the line y = x, the coordinates of the endpoints would now be such that x, moves to the place of y, and vice versa.

We now have;

`\begin{gathered} A=(-3,2)\Rightarrow A^(\prime)=(2,-3) \\ B=(-1,6)\Rightarrow B^(\prime)=(6,-1) \end{gathered}`

ANSWER:

`(6,-1)\text{ and }(2,-3)`

The second option is the correct answer