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Please help solve this question

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Please help solve this question  [#permalink]

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New post 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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Re: Please help solve this question  [#permalink]

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New post 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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New post 10 Mar 2018, 06:03
3,-2 coordinate for c

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New post 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 \(C = (3,-2)\)

Please give Kudos if you like my explanation...
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Re: Please help solve this question  [#permalink]

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New post 10 Mar 2018, 08:56
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

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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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Re: Please help solve this question &nbs [#permalink] 10 Mar 2018, 08:56
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