GRE Prep 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
Track
Your Progress
Practice
Pays
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
[#permalink]
12 Nov 2017, 01:37
12 Nov 2017, 01:37
1
1
6
Bookmarks
00:00
Question Stats:
48% (02:06) correct
51% (02:28) wrong based on 33 sessions
Hide Show timer Statistics
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.
Show: ::
Attachment:
gqgpp_img1.png [ 1.82 KiB | Viewed 5798 times ]
Attachment:
gqgpp_img2.png [ 1.07 KiB | Viewed 5729 times ]
Re: In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel
[#permalink]
12 Nov 2017, 09:43
12 Nov 2017, 09:43
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.
Answer B
Thus, its area is computed as (6*2)/2 = 6. Quantity B is greater.
Answer B
Re: In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel
[#permalink]
07 Dec 2017, 23:26
07 Dec 2017, 23:26
1
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.
Answer B
Thus, its area is computed as (6*2)/2 = 6. Quantity B is greater.
Answer B
How do I know they are similar triangle?
Because two line are intercept, and the third line is parallel?
