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MathRevolution
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Which of the following points is symmetric with y=x at (-1,-2)? 24 Aug 2016, 19:19
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A
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Difficulty:

55% (hard)

Question Stats:

51% (01:12) correct 49% (01:31) wrong based on 220 sessions

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Which of the following points is symmetric with y=x at (-1,-2)?
A. (-2,-1)
B. (-2,1)
C. (2,1)
D. (-1,-2)
E. (-1,2)

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A
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Senthil1981
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Which of the following points is symmetric with y=x at (-1,-2)? 24 Aug 2016, 20:52
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MathRevolution
Which of the following points is symmetric with y=x at (-1,-2)?
A. (-2,-1)
B. (-2,1)
C. (2,1)
D. (-1,-2)
E. (-1,2)

*An answer will be posted in 2 days.
Show more

the point symmetric to y=x will be equidistant from line to the point -1,-2 and same distance . From the graph, the symmetric point is (-2,-1)
Answer is A
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Which of the following points is symmetric with y=x at (-1,-2)? 27 Aug 2016, 05:22
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If the point is symmetric to y=x, we can put y-value to x coordinates and put x-value into y coordinates. Then we get (-1, -2) --> (-2, -1). Hence, the correct answer is A.
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Which of the following points is symmetric with y=x at (-1,-2)? 27 Aug 2016, 15:31
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We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it is "reflected" over the mirror. Reverse the coordinate and keep the same sign. These two points will be symmetric to the line y = x.

(-1,-2) would become (-2,-1).
Answer (A).

Additional information:

If the line had been y = -x, it will still act as a mirror but any point (x,y) becomes (-y,-x) when it is "reflected" over the mirror. Reverse the coordinate and flip the sign. These two points will also be symmetric to the line y = -x.

(-1,-2) would become (2,1).
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Which of the following points is symmetric with y=x at (-1,-2)? 16 Mar 2025, 10:02
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