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

 It is currently 23 Jul 2019, 04:36

### 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

# Points A, B, and, C have xy-coordinates (2,0), (8,12), and (

Author Message
TAGS:

### Hide Tags

Intern
Joined: 14 Mar 2013
Posts: 44
Location: United States
GMAT Date: 12-03-2013
WE: General Management (Retail)
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

### Show Tags

19 Nov 2013, 03:19
1
3
00:00

Difficulty:

35% (medium)

Question Stats:

74% (02:08) correct 26% (02:01) wrong based on 189 sessions

### HideShow timer Statistics

Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction of the area of triangle ABC is the area of triangle XYZ?

(A) 1/9
(B) 1/8
(C) 1/6
(D) 1/5
(E) 1/3
Manager
Joined: 25 Oct 2013
Posts: 143
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

### Show Tags

19 Nov 2013, 03:33
If you notice, both triangles ABC and XYZ have a side on X axis. we can take these sides as bases for each triangle, therefore

Area of ABC is 1/2*12*12 (Height of ABC is the y coordinate of the third point (8,12))
similarly Area of XYZ is 1/2*4*4

dividing area of XYZ with that of ABC gives 1/9.

Hope it helps.
_________________
Click on Kudos if you liked the post!

Practice makes Perfect.
VP
Joined: 02 Jul 2012
Posts: 1153
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

### Show Tags

19 Nov 2013, 03:33
ABC is a triangle with base = 12 units and height = 12 units

Area = 0.5*base*height = 0.5*12*12 = 72

XYZ is a triangle with base = 4 units and height = 4 units

Area = 0.5*base*height = 0.5*4*4 = 8

Fraction = 8/72 = 1/9
_________________
Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types
Current Student
Status: Chasing my MBB Dream!
Joined: 29 Aug 2012
Posts: 1111
Location: United States (DC)
WE: General Management (Aerospace and Defense)
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

### Show Tags

19 Nov 2013, 03:39
1
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively.

Area of triangle in coordinate plane is

$$1/2 *[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]$$...

The area of ABC will be 72 and area of xyz will be 8..

Fraction : 8/72= 1/9

_________________
Intern
Joined: 26 Aug 2014
Posts: 43
GMAT 1: 650 Q49 V30
GMAT 2: 650 Q49 V31
WE: Programming (Computer Software)
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

### Show Tags

02 Sep 2015, 08:08
How do I get heights and bases of triangle ABC and XYZ as 12 and 4 respectively?
CEO
Joined: 20 Mar 2014
Posts: 2620
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

### Show Tags

02 Sep 2015, 08:15
1
ShristiK wrote:
How do I get heights and bases of triangle ABC and XYZ as 12 and 4 respectively?

If you plot the points in XY plane, you will see that the height of triangle ABC = y-coordinate of B = 12, the other 2 points lie on the X axis and thus can not give the height of the triangle.

Similarly, height of triangle XYZ = y-coordinate of Y = 4, the other 2 points lie on the X axis and thus can not give the height of the triangle.

Hope this helps.
Intern
Joined: 26 Aug 2014
Posts: 43
GMAT 1: 650 Q49 V30
GMAT 2: 650 Q49 V31
WE: Programming (Computer Software)
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

### Show Tags

02 Sep 2015, 09:17
Thanks a lot!
I really need to read the question carefully. I've been plotting (14,0) and (10,0) as (0,14) and (0,10) all this time!
Current Student
Status: DONE!
Joined: 05 Sep 2016
Posts: 368
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

### Show Tags

22 Oct 2016, 09:58
I'd recommend plotting this one. It's very easy to see that they are equilateral triangles & you can calculate the area of each and compare.

Area ABC = 36sqrt(3)
Area XYZ = 4sqrt(3)

Ratio of XYZ: ABC = 1/9
Non-Human User
Joined: 09 Sep 2013
Posts: 11749
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

### Show Tags

18 Aug 2018, 19:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (   [#permalink] 18 Aug 2018, 19:04
Display posts from previous: Sort by