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:

Re: What is the difference between the lengths of diagonals of [#permalink]

Show Tags

15 Nov 2007, 09:11

antihero wrote:

bmwhype2 wrote:

What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

1. AB - BC = 2 2. Angle ABC = 30 degrees

E you can keep all points ABC in place and move point B around to achieve any difference in length

I dont follow - how do you move one point about but not another? If it's a parallelogram, then surely moving one point will move one of the other's if it is to maintain two parallel sides?

Re: What is the difference between the lengths of diagonals of [#permalink]

Show Tags

15 Nov 2007, 10:38

antihero wrote:

alrussell wrote:

antihero wrote:

bmwhype2 wrote:

What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

1. AB - BC = 2 2. Angle ABC = 30 degrees

E you can keep all points ABC in place and move point B around to achieve any difference in length

I dont follow - how do you move one point about but not another? If it's a parallelogram, then surely moving one point will move one of the other's if it is to maintain two parallel sides?

Still E

Agreed - but how do you move a single point around? Im confused.

Re: What is the difference between the lengths of diagonals of [#permalink]

Show Tags

16 Nov 2007, 06:47

bmwhype2 wrote:

What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

1. AB - BC = 2 2. Angle ABC = 30 degrees

I am confused to. How can diagonals of a parallelogram be different in length.
They have to be equal in length to satisfy the definition of a parallelogram which is
" A quadrilateral with both pairs of opposite sides parallel and equal in length."

Re: What is the difference between the lengths of diagonals of [#permalink]

Show Tags

24 Jul 2012, 20:27

What is the difference between the lengths of diagonals of parallelogram \(ABCD\) ( \(BD \gt AC\) )?

\(AB - BC = 2\) \(\angle ABC = 30\) degrees

OA:E

Here is my reasoning -

A) Difference between two diagonals does not restrict the shape of the quad. If it's shape is closer to rectangle then diff between diagonals is very less as opposed to if you change the quad's shape to move away from being a rectangle. ( Rectangle has equal diags.) - Insuff.

B) One angle =30. Due to the property of Parallelogram, this restricts the other angles to 30, 150, 30 (opp angles equal and adjacent angles supplementary). So we have a definite shape for parallelogram but NOT a fixed size so we can still vary the size. As size will vary, the difference between diagonals should also vary -

Here is my question for Forum moderators - as the size of parallelogram will increase will the difference between it's diagonals also increase , right?? vice versa for decrease???? Please confirm.

For C -

You can still vary the size of the quad, so the difference in diagonals should vary, hence E.

Re: What is the difference between the lengths of diagonals of [#permalink]

Show Tags

25 Jul 2012, 05:00

saviop wrote:

bmwhype2 wrote:

What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

1. AB - BC = 2 2. Angle ABC = 30 degrees

I am confused to. How can diagonals of a parallelogram be different in length. They have to be equal in length to satisfy the definition of a parallelogram which is " A quadrilateral with both pairs of opposite sides parallel and equal in length."

It says "sides" and not diagonals!!!
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: What is the difference between the lengths of diagonals of [#permalink]

Show Tags

25 Jul 2012, 05:50

2

This post received KUDOS

1

This post was BOOKMARKED

teal wrote:

What is the difference between the lengths of diagonals of parallelogram \(ABCD\) ( \(BD \gt AC\) )?

\(AB - BC = 2\) \(\angle ABC = 30\) degrees

OA:E

Here is my reasoning -

A) Difference between two diagonals does not restrict the shape of the quad. If it's shape is closer to rectangle then diff between diagonals is very less as opposed to if you change the quad's shape to move away from being a rectangle. ( Rectangle has equal diags.) - Insuff.

B) One angle =30. Due to the property of Parallelogram, this restricts the other angles to 30, 150, 30 (opp angles equal and adjacent angles supplementary). So we have a definite shape for parallelogram but NOT a fixed size so we can still vary the size. As size will vary, the difference between diagonals should also vary -

Here is my question for Forum moderators - as the size of parallelogram will increase will the difference between it's diagonals also increase , right?? vice versa for decrease???? Please confirm.

For C -

You can still vary the size of the quad, so the difference in diagonals should vary, hence E.

For B: Given one angle of the parallelogram, all its angles are determined as you mentioned. So, the "shape" of the parallelogram is uniquely determined, meaning all of them are similar, they are just "smaller" or "larger". Similarity also means the lengths of the sides and the diagonals (which can also be seen as sides in some triangles, like half of the parallelogram) increase or decrease proportionally, so their difference cannot remain a constant.

For C: Please, refer to the attached drawing, where y in fact is \(2x+2-x\sqrt{3}\). The diagonals then can be expressed in terms of x, but we don't have any specific value for x.

Hence, answer E.

Attachments

Parallelogram30.jpg [ 11.92 KiB | Viewed 4037 times ]

_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: What is the difference between the lengths of diagonals of [#permalink]

Show Tags

19 Apr 2014, 11:30

1

This post received KUDOS

teal wrote:

What is the difference between the lengths of diagonals of parallelogram \(ABCD\) ( \(BD \gt AC\) )?

\(AB - BC = 2\) \(\angle ABC = 30\) degrees

OA:E

Here is my reasoning -

A) Difference between two diagonals does not restrict the shape of the quad. If it's shape is closer to rectangle then diff between diagonals is very less as opposed to if you change the quad's shape to move away from being a rectangle. ( Rectangle has equal diags.) - Insuff.

B) One angle =30. Due to the property of Parallelogram, this restricts the other angles to 30, 150, 30 (opp angles equal and adjacent angles supplementary). So we have a definite shape for parallelogram but NOT a fixed size so we can still vary the size. As size will vary, the difference between diagonals should also vary -

Here is my question for Forum moderators - as the size of parallelogram will increase will the difference between it's diagonals also increase , right?? vice versa for decrease???? Please confirm.

For C -

You can still vary the size of the quad, so the difference in diagonals should vary, hence E.

HI,

I have couple of queries here.

1. the question is talking about parallelogram. so it can be rectangle ( can not be square or rohumbus) or parallelogram ( oppsite sites and opposite angles are equal)

so what you mean by

"Difference between two diagonals does not restrict the shape of the quad. If it's shape is closer to rectangle then diff between diagonals is very less as opposed to if you change the quad's shape to move away from being a rectangle"

Re: What is the difference between the lengths of diagonals of [#permalink]

Show Tags

27 Jun 2016, 23:19

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.
_________________