 It is currently 22 Mar 2019, 14:10 ### 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. # In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Senior Manager Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 , given: 220

In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel [#permalink] 00:00

Question Stats: 66% (01:44) correct 33% (04:39) wrong based on 9 sessions In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel to DE. A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.

[Reveal] Spoiler:
Attachment: gqgpp_img1.png [ 1.82 KiB | Viewed 1123 times ]

Attachment: gqgpp_img2.png [ 1.07 KiB | Viewed 1098 times ]
[Reveal] Spoiler: OA
Director Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 344 , given: 66

Re: In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel [#permalink]
The two triangles ABC and CDE are similar because they have all the three angles equal. Then, the fact that AC is half CE means that all the corresponding lengths in triangle ABC are half those of triangle CDE. Then, given DF, the height of CDE, equal to 4, the height of triangle ABC must be 2.

Thus, its area is computed as (6*2)/2 = 6. Quantity B is greater. Manager Joined: 03 Dec 2017
Posts: 65
Followers: 0

Kudos [?]: 16  , given: 20

Re: In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel [#permalink]
1
KUDOS
IlCreatore wrote:
The two triangles ABC and CDE are similar because they have all the three angles equal. Then, the fact that AC is half CE means that all the corresponding lengths in triangle ABC are half those of triangle CDE. Then, given DF, the height of CDE, equal to 4, the height of triangle ABC must be 2.

Thus, its area is computed as (6*2)/2 = 6. Quantity B is greater.

How do I know they are similar triangle?
Because two line are intercept, and the third line is parallel? Re: In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel   [#permalink] 07 Dec 2017, 23:26
Display posts from previous: Sort by

# In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.