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==> You can figure out a point reflecting to y=-x by substituting –y to x-coordinate and –x to y-coordinate. Then, (-2,1) --> (-1, -(-2))=(-1,2) is derived.

Hence, the answer is A. Answer: A
_________________

Re: Which of the following points is reflect to y=-x at (-2,1)? [#permalink]

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02 Sep 2017, 08:34

MathRevolution wrote:

Which of the following points is reflect to y=-x at (-2,1)?

A. (-1, 2) B. (1,-2) C. (2,1) D. (2,-1) E. (1,2)

When reflected about line y=-x the x co-ordinate -2 becomes y co-ordinate and y cordinate 1 becomes x co-ordinate. Since (-2,1) is in 2nd quadrant we interchange signs annd get (-1,2)

Re: Which of the following points is reflect to y=-x at (-2,1)? [#permalink]

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06 Sep 2017, 13:52

A.

Consider a circle with the centre in origin and radius-end point in (-2,1). Graph y = -x is a diameter to this circle, so our answer comes from symmetry with respect to this diameter (y = -x). +you may play with triangular equalities/symmetries and so on:)

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