Last visit was: 16 Jul 2024, 12:23 It is currently 16 Jul 2024, 12:23
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# Is quadrilateral ABCD a parallelogram ?

SORT BY:
Tags:
Show Tags
Hide Tags
Intern
Joined: 13 May 2013
Posts: 16
Own Kudos [?]: 144 [61]
Given Kudos: 7
Manhattan Prep Instructor
Joined: 04 Dec 2015
Posts: 932
Own Kudos [?]: 1558 [13]
Given Kudos: 115
GMAT 1: 790 Q51 V49
GRE 1: Q170 V170
Intern
Joined: 03 May 2012
Posts: 18
Own Kudos [?]: 92 [11]
Given Kudos: 200
General Discussion
Manager
Joined: 06 Jul 2013
Posts: 72
Own Kudos [?]: 95 [0]
Given Kudos: 42
GMAT 1: 620 Q48 V28
GMAT 2: 700 Q50 V33
I think answer should be E. What if it is a kite type of shape. Then it is not a parallelogram but still meets the both criteria. I would wait for experts to comment..
Intern
Joined: 13 May 2013
Posts: 16
Own Kudos [?]: 144 [2]
Given Kudos: 7
2
Kudos
AMITAGARWAL2 wrote:
I think answer should be E. What if it is a kite type of shape. Then it is not a parallelogram but still meets the both criteria. I would wait for experts to comment..

IMO as u say mate kite meets both the criterion and it is not a parallelogram therefore we are getting a definite answer
to with combining as "C" ...by combining the two information we are getting definite answer as NO "it is not a parallelogram" because it will be a kite which is NOT a parallelogram...

plz give kudos if it was a help..
Manager
Joined: 06 Jul 2013
Posts: 72
Own Kudos [?]: 95 [2]
Given Kudos: 42
GMAT 1: 620 Q48 V28
GMAT 2: 700 Q50 V33
2
Kudos
but with the current information it could be a rectangle, which is a rectangle and rectangle is a parallogram too. right?
Current Student
Joined: 14 Dec 2012
Posts: 578
Own Kudos [?]: 4344 [6]
Given Kudos: 197
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
4
Kudos
2
Bookmarks
AMITAGARWAL2 wrote:
but with the current information it could be a rectangle, which is a rectangle and rectangle is a parallogram too. right?

diagonals of RECTANGLE are not perpedicular,so in this case it cannot be rectangle.

diagonals are perpendicular only for SQUARE/RHOMBUS/KITE.

hope it helps
Manager
Joined: 05 Dec 2015
Posts: 82
Own Kudos [?]: 16 [0]
Given Kudos: 982
can someone please elaborate why a parallelogram does not fit both 1 & 2? I understand the kite part, but have a little confusion on the other.

Thanks!
Intern
Joined: 30 Jun 2017
Posts: 13
Own Kudos [?]: 6 [0]
Given Kudos: 63
why cannot the answer be B

Statement 2 says that the diagonals are perpendicular, which means the figure can either be a square/rhombus/kite. This confirms that it is NOT A PARALLELOGRAM. A definite answer.

Have I missed something?

Thanks.
Manager
Joined: 22 Sep 2016
Posts: 134
Own Kudos [?]: 65 [0]
Given Kudos: 42
Location: India
GMAT 1: 710 Q50 V35
GPA: 4
AbhinavBankhwal wrote:
why cannot the answer be B

Statement 2 says that the diagonals are perpendicular, which means the figure can either be a square/rhombus/kite. This confirms that it is NOT A PARALLELOGRAM. A definite answer.

Have I missed something?

Thanks.

I agree! The answer should be B.

Manager
Joined: 12 Sep 2016
Posts: 59
Own Kudos [?]: 21 [0]
Given Kudos: 794
Location: India
GMAT 1: 700 Q50 V34
GPA: 3.15
rekhabishop wrote:
AbhinavBankhwal wrote:
why cannot the answer be B

Statement 2 says that the diagonals are perpendicular, which means the figure can either be a square/rhombus/kite. This confirms that it is NOT A PARALLELOGRAM. A definite answer.

Have I missed something?

Thanks.

I agree! The answer should be B.

Every square and Rhombus is a parallelogram

A parallelogram is a quadrilateral with 2 pairs of parallel sides.
The opposite sides on every square and on every rhombus are parallel, so every square and rhombus is a parallelogram.
Director
Joined: 12 Nov 2016
Posts: 569
Own Kudos [?]: 118 [0]
Given Kudos: 167
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
innocous wrote:
Is quadrilateral ABCD a parallelogram ?

1) Two sides measure 8 cm in length while the other two sides measure 6 cm in length.

2) AC is perpendicular to BD.

ccooley and Bunuel

This question https://gmatclub.com/forum/is-abcd-a-ro ... l#p1921432

States that if we know that a quadrilatral has perpendicular bisectors, two diagonals that bisect at 90, the we have enough to know that the figure is a rhombus? And if we know that the figure is a rhombus then we also know that the figure is a paralleogram? Kudos for explanation.
Director
Joined: 12 Nov 2016
Posts: 569
Own Kudos [?]: 118 [0]
Given Kudos: 167
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
innocous wrote:
Is quadrilateral ABCD a parallelogram ?

1) Two sides measure 8 cm in length while the other two sides measure 6 cm in length.

2) AC is perpendicular to BD.

This question also states that if we know that the diagonals of a quadrilateral are perpendicular bisectors of each other then we know for sure that the figure is a rhombus? And because a parallelogram is a broader category then wouldn't the figure have to be a parallelogram? What is the difference between the diagonals of a four sided figure being perpendicular to each other vs being perpendicular bisectors? Kudos
Director
Joined: 12 Nov 2016
Posts: 569
Own Kudos [?]: 118 [0]
Given Kudos: 167
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Nunuboy1994 wrote:
innocous wrote:
Is quadrilateral ABCD a parallelogram ?

1) Two sides measure 8 cm in length while the other two sides measure 6 cm in length.

2) AC is perpendicular to BD.

This question also states that if we know that the diagonals of a quadrilateral are perpendicular bisectors of each other then we know for sure that the figure is a rhombus? And because a parallelogram is a broader category then wouldn't the figure have to be a parallelogram? What is the difference between the diagonals of a four sided figure being perpendicular to each other vs being perpendicular bisectors? Kudos

ccooley and Bunuel https://gmatclub.com/forum/is-quadrilat ... 45937.html

This question too- could please explain the difference between simply perpendicular diagonals and diagonals that are perpendicular bisectors?
Math Expert
Joined: 02 Sep 2009
Posts: 94370
Own Kudos [?]: 641398 [0]
Given Kudos: 85332
Nunuboy1994 wrote:
Nunuboy1994 wrote:
innocous wrote:
Is quadrilateral ABCD a parallelogram ?

1) Two sides measure 8 cm in length while the other two sides measure 6 cm in length.

2) AC is perpendicular to BD.

This question also states that if we know that the diagonals of a quadrilateral are perpendicular bisectors of each other then we know for sure that the figure is a rhombus? And because a parallelogram is a broader category then wouldn't the figure have to be a parallelogram? What is the difference between the diagonals of a four sided figure being perpendicular to each other vs being perpendicular bisectors? Kudos

ccooley and Bunuel https://gmatclub.com/forum/is-quadrilat ... 45937.html

This question too- could please explain the difference between simply perpendicular diagonals and diagonals that are perpendicular bisectors?

A perpendicular bisector is a line which cuts a line segment into two equal parts at 90°.

A line segment bisector is a line which cuts a line segment into two equal parts.

A line is perpendicular to another if it meets or crosses it at right angles (90°).
Senior Manager
Joined: 02 Apr 2014
Posts: 369
Own Kudos [?]: 493 [0]
Given Kudos: 1227
Location: India
Schools: XLRI"20
GMAT 1: 700 Q50 V34
GPA: 3.5
Answer cannot be B. A rhombus and a kite has perpendicular diagonals. A rhombus is a parallelogram, but kite is not.

Combining 1 and 2, the given figure can't be rhombus(parallelogram), because we have unequal sides. so it must be kite and not a rhombus(parallelogram).

Intern
Joined: 11 Jun 2019
Posts: 29
Own Kudos [?]: 45 [0]
Given Kudos: 135
Location: India
1) Two sides measure 8 cm in length while the other two sides measure 6 cm in length.
2) AC is perpendicular to BD.

from (1). it can be a kite or a paralellogram.
(2). it can be a kite or a square or a rhombus (for a parallelogram to have digonals intersect at 90,
all sides have to be same)

Combined, its clear that its not a square/rhombus. Hence it is a kite. Hence (C)
Intern
Joined: 29 Aug 2019
Posts: 12
Own Kudos [?]: 3 [0]
Given Kudos: 0
Statement 1:tells us this is not a square. So it could be a rectangle or rhombus. Two answers - not suff.

Statement 2: Thing to know here: Perpendicular diagonals only apply to a square or a rhombus - not rectangles. So this could now be a rhombus or a square.Two answers - not suff.

Putting them together rules out both squares and rectangles. This must be a rhombus. Idc what a rhombus is in terms of data suff. All I know is I narrowed this *complain* down to one possibility - who cares if it's a parallelogram or not.
Non-Human User
Joined: 09 Sep 2013
Posts: 33993
Own Kudos [?]: 851 [0]
Given Kudos: 0