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

Answer choices- (-1, -6) and (-3,-2) (6,-1) and (2,-3) (1,-6) and (3,-2) (-6, 1) and-example-1
User MrMime
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1 Answer

15 votes
15 votes

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

User Aman Saxena
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3.2k points