Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 16 Jul 2019, 12:12

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# In the figure above, what are the coordinates of point R ?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56244
In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

21 Jun 2018, 09:44
1
Top Contributor
13
00:00

Difficulty:

5% (low)

Question Stats:

79% (01:04) correct 21% (01:01) wrong based on 995 sessions

### HideShow timer Statistics

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:

xy.jpg [ 13.82 KiB | Viewed 9549 times ]

_________________
Director
Joined: 14 Feb 2017
Posts: 688
Location: Australia
Concentration: Technology, Strategy
GMAT 1: 560 Q41 V26
GMAT 2: 550 Q43 V23
GMAT 3: 650 Q47 V33
GPA: 2.61
WE: Management Consulting (Consulting)
In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

19 Nov 2018, 16:09
6

I used the angle and length measurement to solve this. See my diagram below - I found this easiest.
_________________
Goal: Q49, V41

+1 Kudos if you like my post pls!
##### General Discussion
Manager
Joined: 10 Jun 2016
Posts: 81
Location: India
Concentration: Operations, Strategy
GMAT 1: 710 Q49 V37
GPA: 3.3
WE: Project Management (Energy and Utilities)
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

21 Jun 2018, 10:01
1
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)

Attachment:
xy.jpg

We know that -

The line through point Q (5,3) is a vertical line with undefined slope. Thus, the x co-ordinate of the point R is 5.

Given that line through origin and point R is inclined 45 degree with the x-axis and it goes from left to right (bottom to top) - thus the slope is -1. Therefore, only if y co-ordinate is -5 will the slope of line OR be -1.

_________________
"Success is a lousy teacher. It seduces smart people to think they can't lose" - Bill Gates.
Intern
Joined: 08 Jul 2017
Posts: 17
Location: Greece
GPA: 3.31
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

21 Jun 2018, 10:06
3
1
The x-coordinate of R is positive and the y-coordinate of R is negative. So answer C is out.
The x-coordinate of R is the same with the x-coordinate 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 x-axis. 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)
Intern
Joined: 29 Jul 2018
Posts: 4
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

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.

Intern
Joined: 22 Jul 2018
Posts: 5
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

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 x-value will be the same as Q)?
Intern
Joined: 29 Jul 2018
Posts: 4
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

16 Aug 2018, 19:21
1
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 x-value 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
Senior Manager
Joined: 22 Feb 2018
Posts: 426
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

17 Aug 2018, 01:30
1
1
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)

Attachment:
xy.jpg

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 $$: (5,-5)$$
_________________
Good, good Let the kudos flow through you
Intern
Joined: 01 Jun 2017
Posts: 20
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

21 Aug 2018, 00:09
1
We know that sides in a 90-45-45 angle are in the ratio root 2:1:1. Notice the triangle is 90-45-45

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
VP
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

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/figures-drawn-to-scale-general-quant-question-279658.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.
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6923
Location: United States (CA)
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

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)

Attachment:
xy.jpg

Since the length of PQ is 5, the base of the triangle is 5. Since we have a 45-45-90 right triangle, the height is also 5. Since R has the same x-coordinate as Q, the coordinates of R are (5,-5).

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

CEO
Joined: 12 Sep 2015
Posts: 3847
In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

Updated on: 13 May 2019, 08:57
Top Contributor
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)
Attachment:
xy.jpg

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)

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com

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.
Manager
Joined: 25 Sep 2018
Posts: 60
In the figure above, what are the coordinates of point R ?  [#permalink]

### Show Tags

06 May 2019, 01:09
1
Since 45:45:90. I mean two sides are equal, where one side is given 5

so, another equal side must be 5.

Posted from my mobile device
In the figure above, what are the coordinates of point R ?   [#permalink] 06 May 2019, 01:09
Display posts from previous: Sort by