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Which of the following points reflect to y=-x at (-3,2)?

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Math Revolution GMAT Instructor
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Which of the following points reflect to y=-x at (-3,2)? [#permalink]

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New post 18 May 2017, 00:09
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Question Stats:

45% (00:47) correct 55% (00:48) wrong based on 60 sessions

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Which of the following points reflect to y=-x at (-3,2)?

A. (-2, 3)
B. (2,-3)
C. (3,2)
D. (3,-2)
E. (2,3)
[Reveal] Spoiler: OA

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Re: Which of the following points reflect to y=-x at (-3,2)? [#permalink]

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New post 18 May 2017, 05:46
MathRevolution wrote:
Which of the following points reflect to y=-x at (-3,2)?

A. (-2, 3)
B. (2,-3)
C. (3,2)
D. (3,-2)
E. (2,3)


If the point is reflected about line y=-x

x co-ordinate becomes y co-ordinate and existing y-coordinate becomes new x co-ordinate but since point is in 2nd quadrant so x co-ordinate will be negative and y-co-ordinate will be positive (Similar Triangle application)

hence, reflected point = (-2, 3)

Answer: Option A
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Expert Post
Math Revolution GMAT Instructor
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Re: Which of the following points reflect to y=-x at (-3,2)? [#permalink]

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New post 21 May 2017, 17:00
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==> In order to become symmetrical to y=-x, you need to substitute –y value on x coordinate, and –x value on y coordinate. Thus, you get (-3,2)-->(-2,3).

The answer is A.
Answer: A
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Re: Which of the following points reflect to y=-x at (-3,2)?   [#permalink] 21 May 2017, 17:00
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