GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 30 May 2020, 23:47

### 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

# Three of the four vertices of a rectangle in the xy-coordinate plane a

Author Message
TAGS:

### Hide Tags

Manager
Joined: 13 Sep 2016
Posts: 114
GMAT 1: 800 Q51 V51
Three of the four vertices of a rectangle in the xy-coordinate plane a  [#permalink]

### Show Tags

10 May 2018, 16:54
00:00

Difficulty:

5% (low)

Question Stats:

93% (01:03) correct 7% (01:45) wrong based on 102 sessions

### HideShow timer Statistics

Three of the four vertices of a rectangle in the xy-coordinate plane are ( -3, 10), ( 2, 10), and (2, 1). What is the fourth vertex?

A) (-3,1)
B) (-3,2)
C) (-2,10)
D) (2,-3)
E) (3,10)
Director
Joined: 02 Oct 2017
Posts: 679
Three of the four vertices of a rectangle in the xy-coordinate plane a  [#permalink]

### Show Tags

10 May 2018, 19:59
(-3,10) (2,10)
.............
. .
. .
............. (2,1)

Missing coordinate will take x value of(-3,10) and y value of (2,1) coordinates

So those will remain same

Posted from my mobile device
Manager
Joined: 13 Sep 2016
Posts: 114
GMAT 1: 800 Q51 V51
Re: Three of the four vertices of a rectangle in the xy-coordinate plane a  [#permalink]

### Show Tags

11 May 2018, 05:28
push12345 wrote:
(-3,10) (2,10)
.............
. .
. .
............. (2,1)

Missing coordinate will take x value of(-3,10) and y value of (2,1) coordinates

So those will remain same

Posted from my mobile device

Can you ellaborate little more on this?
Senior SC Moderator
Joined: 22 May 2016
Posts: 3860
Three of the four vertices of a rectangle in the xy-coordinate plane a  [#permalink]

### Show Tags

11 May 2018, 07:37
2
alanforde800Maximus wrote:
Three of the four vertices of a rectangle in the xy-coordinate plane are ( -3, 10), ( 2, 10), and (2, 1). What is the fourth vertex?

A) (-3,1)
B) (-3,2)
C) (-2,10)
D) (2,-3)
E) (3,10)

Attachment:

coordrectangle.png [ 8.4 KiB | Viewed 1455 times ]

alanforde800Maximus

From the sketch (does not take long)
The figure is a rectangle
(parallel/perpendicular sides, opposite side lengths are equal)
the fourth coordinate is at (-3, 1)

The fourth vertex, D

--must have an x-coordinate that
is exactly the same as Vertex A

-- must have a y-coordinate that
is exactly the same as Vertex C

Stated differently
The x- and y-coordinates without a "match"
are those of the fourth vertex

One missing side, AD, is vertical
It is parallel to the y-axis
The line it lies on is x = -3
We have three x coordinates: -3, 2, and 2

The x-coordinate without a "match"
is (-3, 10)
There is a vertical line at x = -3
The fourth vertex must lie on x = -3

We have three y coordinates: 1, 10, and 10
The y-coordinate that does not have a "match"
is (2, 1)
There is a horizontal side on line: y = 1
The fourth vertex must lie on y = 1

The fourth vertex is at (-3, 1)

Hope that helps
_________________
Visit SC Butler, here! Get two SC questions to practice, whose links you can find by date.

Our lives begin to end the day we become silent about things that matter. -- Dr. Martin Luther King, Jr.
Non-Human User
Joined: 09 Sep 2013
Posts: 15021
Re: Three of the four vertices of a rectangle in the xy-coordinate plane a  [#permalink]

### Show Tags

07 Aug 2019, 21:53
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: Three of the four vertices of a rectangle in the xy-coordinate plane a   [#permalink] 07 Aug 2019, 21:53