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In the figure above, if QR=4 and PQ=3, then the (x,y) coordinates of
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22 Jul 2021, 04:51
22 Jul 2021, 04:51
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Attachment:
GRE In the figure above.jpg [ 11.71 KiB | Viewed 2053 times ]
In the figure above, if QR=4 and PQ=3, then the (x,y) coordinates of point P are
(A) (-4，4)
(B) (-3,4)
(C) (-3,3)
(D) (-2,3)
(E) (-2,4)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: In the figure above, if QR=4 and PQ=3, then the (x,y) coordinates of
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22 Jul 2021, 21:14
22 Jul 2021, 21:14
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Carcass wrote:
Attachment:
GRE In the figure above.jpg
In the figure above, if QR=4 and PQ=3, then the (x,y) coordinates of point P are
(A) (-4，4)
(B) (-3,4)
(C) (-3,3)
(D) (-2,3)
(E) (-2,4)
A vertical line has same x coordinates and a horizontal line has same y coordinates
Point Q will have same x coordinate as point R
i.e. Q = (1, y)
Since Q is 4 units above R, we add 4 to the y coordinate of R
so, Q = (1, 3)
Now, Point P will have same y coordinate as point Q
i.e. P = (x, 3)
Since P is 3 units left to Q, we subtract 3 to the y coordinate of Q
so, P = (-2, 3)
Hence, option D
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Re: In the figure above, if QR=4 and PQ=3, then the (x,y) coordinates of
[#permalink]
17 Jul 2024, 04:54
17 Jul 2024, 04:54
1
↧↧↧ Detailed Video Explanation to the Problem ↧↧↧
In the figure above, if QR = 4, now Q and R are on the same vertical line
=> Q and R will have same x-coordinate = 1
=> y-coordinate of Q = y-coordinate of R + 4 as we are going 4 points up
=> y-coordinate of Q = -1 + 4 = 3
=> Coordinate of Q = (1, 3)
16 img-1.jpg [ 7.85 KiB | Viewed 688 times ]
In the figure above, PQ = 3, now P and Q are on the same horizontal line
=> P and Q will have same y-coordinate = 3
=> x-coordinate of P = x-coordinate of Q - 3 as we are going 3 points to the left
=> x-coordinate of P = 1 - 3 = -2
=> Coordinate of P = (-2, 3)
16 img-2.jpg [ 8.89 KiB | Viewed 690 times ]
So, Answer will be D
Hope it helps!
Watch the following video to MASTER Co-ordinate Geometry
In the figure above, if QR = 4, now Q and R are on the same vertical line
=> Q and R will have same x-coordinate = 1
=> y-coordinate of Q = y-coordinate of R + 4 as we are going 4 points up
=> y-coordinate of Q = -1 + 4 = 3
=> Coordinate of Q = (1, 3)
Attachment:
16 img-1.jpg [ 7.85 KiB | Viewed 688 times ]
In the figure above, PQ = 3, now P and Q are on the same horizontal line
=> P and Q will have same y-coordinate = 3
=> x-coordinate of P = x-coordinate of Q - 3 as we are going 3 points to the left
=> x-coordinate of P = 1 - 3 = -2
=> Coordinate of P = (-2, 3)
Attachment:
16 img-2.jpg [ 8.89 KiB | Viewed 690 times ]
So, Answer will be D
Hope it helps!
Watch the following video to MASTER Co-ordinate Geometry
