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Intern
Joined: 23 Jun 2015
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10 Mar 2018, 04:23
Q. In the coordinate system, line y=x is the perpendicular bisector of segment AB and x axis is the perpendicular bisector of segment BC. If coordinates of A are (2,3) what are the coordinates of point C

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Intern
Joined: 30 May 2017
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10 Mar 2018, 04:48
Is it (3,-2)

EQ of line AB is X + y = 5
Pt. B is (3,2)
And hence pt. C is 3,-2

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Joined: 18 Feb 2018
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10 Mar 2018, 06:03
3,-2 coordinate for c

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Manager
Joined: 16 Sep 2016
Posts: 67
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10 Mar 2018, 06:22
GMATforsure wrote:
Q. In the coordinate system, line y=x is the perpendicular bisector of segment AB and x axis is the perpendicular bisector of segment BC. If coordinates of A are (2,3) what are the coordinates of point C

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Since $$y=x$$ is perpendicular bisector of AB therefore Point B is the reflection of point A in that line.
So $$A = (2,3) -> B = (3,2)$$
Similarly , Point C is a reflection of point B in the x axis... So it's x coordinates is the same as point B and Y co-ordinate is flipped.

Hence $$C = (3,-2)$$

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10 Mar 2018, 08:56
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