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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, 01:09
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

55% (01:07) correct 45% (01:27) wrong based on 114 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)

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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, 06:46
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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Re: Which of the following points reflect to y=-x at (-3,2)?  [#permalink]

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New post 21 May 2017, 18:00
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2
==> 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]

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New post 10 Jun 2018, 02:26
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Re: Which of the following points reflect to y=-x at (-3,2)? &nbs [#permalink] 10 Jun 2018, 02:26
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