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Intern
Joined: 23 Jun 2015
Posts: 1

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10 Mar 2018, 03:23
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
Posts: 38
GMAT 1: 730 Q49 V41

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10 Mar 2018, 03:48
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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Intern
Joined: 18 Feb 2018
Posts: 1

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10 Mar 2018, 05:03
3,-2 coordinate for c

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Senior PS Moderator
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
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10 Mar 2018, 05:22
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

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

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

Please give Kudos if you like my explanation...
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Math Expert
Joined: 02 Sep 2009
Posts: 52363

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10 Mar 2018, 07:56
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

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Check below:
in-the-rectangular-coordinate-system-the-line-y-x-is-the-132646.html
http://gmatclub.com/forum/in-the-xy-coo ... 43502.html
http://gmatclub.com/forum/in-the-rectan ... 32646.html
http://gmatclub.com/forum/the-coordinat ... 27769.html
http://gmatclub.com/forum/the-line-repr ... 27770.html
http://gmatclub.com/forum/if-point-a-co ... 41972.html
http://gmatclub.com/forum/in-the-rectan ... 88473.html
http://gmatclub.com/forum/in-the-rectan ... 44774.html
http://gmatclub.com/forum/the-line-repr ... 87573.html
in-the-rectangular-coordinate-system-above-the-line-y-x-129932.html

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This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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