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Re: In the rectangular coordinate system above, the coordinates [#permalink]
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Carcass wrote:
Attachment:
#greprepclub coordinate above.jpg



In the rectangular coordinate system above, the coordinates of points A and B are shown. If the dotted lines represent a second pair of coordinate axes with origin at A, and if the scale is the same on both pairs of axes, what are the coordinates of point B with respect to the second pair of axes?

(A) (-33,88)

(B) (33,.48)

(C) (33, -48)

(D) (97, 88)

(E) (97, -88)


Kudos for the right answer and explanation


65 - 32 = 33
So, point B is 33 units TO THE RIGHT of the "new origin" at (32, 68)
So, with respect to the second pair of axes, the x-coordinate of point B is 33
ELIMINATE A, D and E

We're left with answer choices B and C

At this point, we need not determine the actual y-coordinate of B (with respect to the second pair of axes)
Since point B is BELOW the "new origin" at (32, 68), we know that, with respect to the second pair of axes, the y-coordinate is NEGATIVE
ELIMINATE B

By the process of elimination, the correct answer is C

Cheers,
Brent
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Re: In the rectangular coordinate system above, the coordinates [#permalink]
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The new axis has origin points (32, 68) which represent Point A.
and given that point B is (65,20)
and asking how is point B will be on the new axis? if the origin is (32,68) point A
To determine the x-intercept= 65-32= 33.
and y- intercept= 68-20= 48 and should be negative
From here answer is C (33,-48)
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Re: In the rectangular coordinate system above, the coordinates [#permalink]
Which formula do you guys are using for 65 - 32 and 20 - 68?
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Re: In the rectangular coordinate system above, the coordinates [#permalink]
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Greprep911 wrote:
Which formula do you guys are using for 65 - 32 and 20 - 68?


see more here sir to have a fully grasp https://gre.myprepclub.com/forum/gre-geome ... tml#p82861
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