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# In the rectangular coordinate system above, the coordinates

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In the rectangular coordinate system above, the coordinates [#permalink]  16 Jun 2020, 10:41
Expert's post
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Question Stats:

83% (00:53) correct 16% (01:04) wrong based on 31 sessions
Attachment:

#greprepclub coordinate above.jpg [ 17.95 KiB | Viewed 749 times ]

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)

(0) (97, 88)

(E) (97, -88)

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

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Kudos [?]: 23 [3] , given: 1

Re: In the rectangular coordinate system above, the coordinates [#permalink]  23 Jun 2020, 11:20
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The new axis make point A (0,0)

Thus the x value is offset by 32. An x value of 33 on the old axis would be 1 on the new axis. Thus: new axis x value = old axis x value - 32

The y value is offset by 68. A y value of 70 on the old axis would be 2 on the new axis. Thus: new axis y value = old axis y value - 68

Now use the two old axis values to convert them into new axis values
X: 65-32 = 33
Y: 20-68 = -48

Thus C is the correct answer
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Re: In the rectangular coordinate system above, the coordinates [#permalink]  24 Jun 2020, 17:48
@Brent plz explain this
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Re: In the rectangular coordinate system above, the coordinates [#permalink]  25 Jun 2020, 06:36
2
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Expert's post
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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Kudos [?]: 39 [1] , given: 21

Re: In the rectangular coordinate system above, the coordinates [#permalink]  05 Jul 2020, 06:59
1
KUDOS
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)
Re: In the rectangular coordinate system above, the coordinates   [#permalink] 05 Jul 2020, 06:59
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