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 500,000 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]

Show Tags

22 Aug 2011, 11:18

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

68% (02:08) correct
32% (01:23) wrong based on 223 sessions

HideShow timer Statistics

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).

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

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 2711 times ]

Re: A, B, and C are three distinct points in the xy-coordinate [#permalink]

Show Tags

19 Dec 2015, 22:50

any point that lies on the line x=8 would not be collinear with a point on (5,7) and (8,2) at the same time. Hence, Statement 2 is sufficient to prove that the three points are not on the same line. Two points are anyways always collinear.

Hence B
_________________

Fais de ta vie un rêve et d'un rêve une réalité

gmatclubot

Re: A, B, and C are three distinct points in the xy-coordinate
[#permalink]
19 Dec 2015, 22:50

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Happy 2017! Here is another update, 7 months later. With this pace I might add only one more post before the end of the GSB! However, I promised that...

The words of John O’Donohue ring in my head every time I reflect on the transformative, euphoric, life-changing, demanding, emotional, and great year that 2016 was! The fourth to...