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In the figure above, what are the coordinates of point R ?
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21 Jun 2018, 09:44
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In the figure above, what are the coordinates of point R ? A. (3,−5) B. (3,−3) C. (5,5) D. (5,−3) E. (5,−5) NEW question from GMAT® Official Guide 2019 (PS02599) Attachment:
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In the figure above, what are the coordinates of point R ?
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19 Nov 2018, 16:09
I used the angle and length measurement to solve this. See my diagram below  I found this easiest.




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Re: In the figure above, what are the coordinates of point R ?
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21 Jun 2018, 10:01
Bunuel wrote: In the figure above, what are the coordinates of point R ? A. (3,−5) B. (3,−3) C. (5,5) D. (5,−3) E. (5,−5) NEW question from GMAT® Official Guide 2019 (PS02599) We know that  The line through point Q (5,3) is a vertical line with undefined slope. Thus, the x coordinate of the point R is 5. Given that line through origin and point R is inclined 45 degree with the xaxis and it goes from left to right (bottom to top)  thus the slope is 1. Therefore, only if y coordinate is 5 will the slope of line OR be 1. Thus, answer E.
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Re: In the figure above, what are the coordinates of point R ?
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21 Jun 2018, 10:06
The xcoordinate of R is positive and the ycoordinate of R is negative. So answer C is out. The xcoordinate of R is the same with the xcoordinate of Q which is 5. So answer A and B are out. The triangle of the 4th quartile has angles in the ratio 45:45:90 since there is a right angle at the point where the QR intersects the xaxis. So the ratio of the sides of the triangle is x:x:sqrt2*x. The x equals 5 since equals with the side PQ. But R is in the 4th quartile so we need the negative value which is 5. The coordinates of R are (5,5) The correct answer is E.



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Re: In the figure above, what are the coordinates of point R ?
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13 Aug 2018, 07:54
Dimensions of the rectangle would be height = 3 , width = 5
We know that it's a right angle triangle 90  45 (given) = 45 (the unknown angle)
So since we know that lets now operate on the following sine rule :
Sine A (angle) / a (opp side length) = Sine B (angle) / b (opp side length)
Applying the above rule :
Sine 45 / 5 = Sine 45 / x (where x is the height of right angle triangle)
After computing we get x = 5.
Now the easiest part we know that right angle triangle is on negative side of Y Axis so it's 5 and we already know X Axis which is 5.
Therefore answer is 5,5.



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Re: In the figure above, what are the coordinates of point R ?
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16 Aug 2018, 14:00
Since the triangle has two 45 degree angles, is that enough to let you know that the base and height will be the same (i.e., R's xvalue will be the same as Q)?



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Re: In the figure above, what are the coordinates of point R ?
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16 Aug 2018, 19:21
royharmon4 wrote: Since the triangle has two 45 degree angles, is that enough to let you know that the base and height will be the same (i.e., R's xvalue will be the same as Q)? Yes, it's enough to let us know the height since only base length is known we compute it with that. The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all three sides of the triangle. This is true for any triangle. You can use the Law of Sines if you already know > One side and its opposite angle, and > One or more other sides or angles Posted from my mobile device



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Re: In the figure above, what are the coordinates of point R ?
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17 Aug 2018, 01:30
Bunuel wrote: In the figure above, what are the coordinates of point R ? A. (3,−5) B. (3,−3) C. (5,5) D. (5,−3) E. (5,−5) NEW question from GMAT® Official Guide 2019 (PS02599) OA: E Equation of QR , \(x=5\) Equation of OR , \(y=x\) The intersection point of Line QR and OR is R Solving equation \(x =5\) and \(y=x\) , we get \(x=5\) and \(y =5\) Coordinate of R \(: (5,5)\)



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Re: In the figure above, what are the coordinates of point R ?
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21 Aug 2018, 00:09
We know that sides in a 904545 angle are in the ratio root 2:1:1. Notice the triangle is 904545
From point Q(5,3) we know that the length of base of the triangle is 5. Hence the height will also be 5, while the hypotenuse will be 5root2.
Therefore, the x coordinate will be 5(base) and y coordinate will be 5( Height)
Ans E



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Re: In the figure above, what are the coordinates of point R ?
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12 Feb 2019, 04:52
Bunuel wrote: In the figure above, what are the coordinates of point R ? A. (3,−5) B. (3,−3) C. (5,5) D. (5,−3) E. (5,−5) NEW question from GMAT® Official Guide 2019 (PS02599) IMO, no calculation was required, since in a PS question, the figures are drawn to scale. Its even discussed here,https://gmatclub.com/forum/figuresdrawntoscalegeneralquantquestion279658.html Only valid options were D and E. Out of which only E wins, since the figure above the x axis will be a rectangle of area 15, which when inverted will make the same area.
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Re: In the figure above, what are the coordinates of point R ?
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29 Apr 2019, 09:13
Bunuel wrote: In the figure above, what are the coordinates of point R ? A. (3,−5) B. (3,−3) C. (5,5) D. (5,−3) E. (5,−5) Since the length of PQ is 5, the base of the triangle is 5. Since we have a 454590 right triangle, the height is also 5. Since R has the same xcoordinate as Q, the coordinates of R are (5,5). Answer: E
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In the figure above, what are the coordinates of point R ?
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Updated on: 13 May 2019, 08:57
Bunuel wrote: In the figure above, what are the coordinates of point R ? A. (3,−5) B. (3,−3) C. (5,5) D. (5,−3) E. (5,−5) One of my students asked for a more detailed solution. So, . . . The coordinates of point Q give us information about the following lengths: Now focus on the RIGHT triangle below: We can see the missing angle is 45°, which makes this an ISOSCELES right triangle. Since we have an ISOSCELES right triangle, we know the length of the other leg is 5 At this point, we have enough information to determine that point R has coordinates ( 5, 5) Answer: E Cheers, Brent
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Originally posted by GMATPrepNow on 05 May 2019, 08:57.
Last edited by GMATPrepNow on 13 May 2019, 08:57, edited 2 times in total.



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In the figure above, what are the coordinates of point R ?
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06 May 2019, 01:09
Since 45:45:90. I mean two sides are equal, where one side is given 5
so, another equal side must be 5.
And, Answer must be E
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Re: In the figure above, what are the coordinates of point R ?
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18 Jul 2019, 03:59
In the figure above, what are the coordinates of point R ?
A. (3,−5)
B. (3,−3)
C. (5,5)
D. (5,−3)
E. (5,−5)
Answer is E(5,5)
Since we know both the angles opposite to the 90 degree angle are 45. So both the sides adjacent to the 90 degree angle should be equal. Side on X axis we already know is 5. So side parallel to Y axis is also 5 Hence coordinate  (5,5)




Re: In the figure above, what are the coordinates of point R ?
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18 Jul 2019, 03:59






