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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A, B, and C are three distinct points in the xy-coordinate [#permalink]
22 Aug 2011, 11:18

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

68% (01:59) correct
32% (01:03) wrong based on 103 sessions

A, B, and C are three distinct points in the xy-coordinate system, and line segment AB is either parallel to the x-axis or the y-axis. Do the points A, B, and C form the vertices of a triangle?

(1) The coordinates of point A are (4, 2).

(2) The coordinates of point B are (8, 2), and those of point C are (5, 7).

Re: Is ABC a triangle? [#permalink]
22 Aug 2011, 11:55

imerial wrote:

A, B, and C are three distinct points in the xy-coordinate system, and line segment AB is either parallel to the x-axis or the y-axis. Do the points A, B, and C form the vertices of a triangle?

(1) The coordinates of point A are (4, 2).

(2) The coordinates of point B are (8, 2), and those of point C are (5, 7).

Basically they will only not form a triangle if they all have the same x coordinate or the same y coordinate. (1) we are only given one point so it may form a triangle or may for a straight line. In (2) we can see that A and B have neither the same X or same Y coordinate, thus any other point on the grid will form a triangle with these two points. B

Re: Is ABC a triangle? [#permalink]
22 Aug 2011, 12:32

imerial wrote:

A, B, and C are three distinct points in the xy-coordinate system, and line segment AB is either parallel to the x-axis or the y-axis. Do the points A, B, and C form the vertices of a triangle?

(1) The coordinates of point A are (4, 2).

(2) The coordinates of point B are (8, 2), and those of point C are (5, 7).

(1) A=(4,2); For the sake of simplicity, let's say B=(5,2) That makes AB || x-axis Now, C can be (6,2). ABC will form a straight line, not triangle. Or, C can be (10,10). ABC will form a triangle because the three points are NOT collinear. Not Sufficient.

(2) B=(8,2) AND C=(5,7)

Because we are told that AB || some-axis, A must lie either on line y=2 OR x=8 considering B=(8,2) AND also A can't be (8,2) itself, for all the three points are distinct. Thus, ABC can not be collinear AND will always be a triangle irrespective of the coordinates A may have. Sufficient.

See the pic:

Attachment:

AB_Parallel_To_Axis.JPG [ 31.36 KiB | Viewed 1787 times ]

MBA Acceptance Rate by Country Most top American business schools brag about how internationally diverse they are. Although American business schools try to make sure they have students from...

McCombs Acceptance Rate Analysis McCombs School of Business is a top MBA program and part of University of Texas Austin. The full-time program is small; the class of 2017...

My swiss visa stamping is done and my passport was couriered through Blue dart. It took 5 days to get my passport stamped and couriered to my address. In...