It is currently 18 Jan 2018, 19:58

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What are the coordinates of point B in the xy-plane above ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139442 [0], given: 12790

What are the coordinates of point B in the xy-plane above ? [#permalink]

Show Tags

New post 19 Nov 2015, 23:59
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (01:33) correct 29% (01:16) wrong based on 112 sessions

HideShow timer Statistics

Image
What are the coordinates of point B in the xy-plane above ?

(A) (6, 12)
(B) (6, 28)
(C) (8, 20)
(D) (12, 20)
(E) (14, 28)

[Reveal] Spoiler:
Attachment:
Untitled-1.jpg
Untitled-1.jpg [ 8.39 KiB | Viewed 1281 times ]
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139442 [0], given: 12790

4 KUDOS received
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 1891

Kudos [?]: 1128 [4], given: 93

Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: What are the coordinates of point B in the xy-plane above ? [#permalink]

Show Tags

New post 20 Nov 2015, 01:30
4
This post received
KUDOS
Triangles ABD and CDB are congruent (RHS congruence)
∠ BDA= ∠ BDC
AB = BC
BD=BD (Common side)

Therefore , AD=DC
D is the midpoint of AC
D is (6,0)

Since AC = BD
We know AC = 28
Therefore B is (6,28)

Answer B
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Kudos [?]: 1128 [4], given: 93

Intern
Intern
avatar
B
Joined: 08 Sep 2016
Posts: 28

Kudos [?]: 2 [0], given: 115

CAT Tests
Re: What are the coordinates of point B in the xy-plane above ? [#permalink]

Show Tags

New post 12 Nov 2017, 05:48
Skywalker:

How did u get AC as 28?

Did u find the slope between AC

Please clarify!

Thanks in Advance!
S

Kudos [?]: 2 [0], given: 115

1 KUDOS received
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 1891

Kudos [?]: 1128 [1], given: 93

Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: What are the coordinates of point B in the xy-plane above ? [#permalink]

Show Tags

New post 12 Nov 2017, 05:57
1
This post received
KUDOS
shinrai15 wrote:
Skywalker:

How did u get AC as 28?

Did u find the slope between AC

Please clarify!

Thanks in Advance!
S


Hi shinrai,
I found AC using the coordinates of A (-8,0) and C (20,0).
You can use the distance formula but since Y coordinates are 0 , you can simply subtract.

Hope this helps!! :-)
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Kudos [?]: 1128 [1], given: 93

1 KUDOS received
VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1249

Kudos [?]: 458 [1], given: 682

Premium Member CAT Tests
What are the coordinates of point B in the xy-plane above ? [#permalink]

Show Tags

New post 12 Nov 2017, 08:42
1
This post received
KUDOS
Bunuel wrote:
Image
What are the coordinates of point B in the xy-plane above ?

(A) (6, 12)
(B) (6, 28)
(C) (8, 20)
(D) (12, 20)
(E) (14, 28)

[Reveal] Spoiler:
Attachment:
Untitled-1.jpg

Given (AB = BC): This triangle is isosceles.

The altitude, BD, of an isosceles triangle is a perpendicular bisector of the opposite side, which creates two congruent right triangles with equal bases, AD and DC.

Because the altitude is both perpendicular and a bisector, the x-coordinate of D also will be the x-coordinate of B.

To find the x-coordinate of D, and hence of vertex B, use midpoint formula:

\(\frac{x_1 + x_2}{2}=\frac{-8 + 20}{2}=\frac{12}{2}=\) 6

To find y-coordinate of vertex B, use given information that AC = BD. To find distance between two points that lie on the same line (y = 0), subtract x-coordinates of A and C*:

20 - (-8) = (20 + 8) = 28 = AC
AC = BD = 28. B's y-coordinate = 28

B = (6,28)

Answer B

* You also can just "count": From -8 to 0 = distance of 8. From 0 to 20 = distance of 20. (8 + 20) = 28
_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Kudos [?]: 458 [1], given: 682

What are the coordinates of point B in the xy-plane above ?   [#permalink] 12 Nov 2017, 08:42
Display posts from previous: Sort by

What are the coordinates of point B in the xy-plane above ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.