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805+ (Hard)|   Geometry|      
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mikemcgarry
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In the figure, ABCD is a trapezoid with BC//AD, AB = CE, BE//CG, and a Updated on: 15 Jun 2016, 10:13
Originally posted by mikemcgarry on 14 Jun 2016, 11:27.
Last edited by mikemcgarry on 15 Jun 2016, 10:13, edited 2 times in total.
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95% (hard)

Question Stats:

34% (02:32) correct 66% (02:42) wrong based on 131 sessions

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Attachment:
trapezoid ABCD.png
trapezoid ABCD.png [ 6.98 KiB | Viewed 4536 times ]
In the figure, ABCD is a trapezoid with BC//AD, AB = CD, BE//CG, and angle AEB = 90°. Point M is the midpoint of side BC. Point F, not shown, is a vertex on triangle EFG such that EF = FG. Is point F inside the trapezoid?

Statement #1: BE = EG

Statement #2: FG//CD

Geometry is truly beautiful, and GMAT loves it. This question is from a collection of 10 challenging GMAT DS practice questions on Geometry. To see the others, as well as the OE for this particular question, see:
GMAT Data Sufficiency Geometry Practice Questions

Mike :-)
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KbSharma
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In the figure, ABCD is a trapezoid with BC//AD, AB = CE, BE//CG, and a 14 Jun 2016, 21:03
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mikemcgarry
Attachment:
trapezoid ABCD.png
In the figure, ABCD is a trapezoid with BC//AD, AB = CE, BE//CG, and angle AEB = 90°. Point M is the midpoint of side BD. Point F, not shown, is a vertex on triangle EFG such that EF = FG. Is point F inside the trapezoid?

Statement #1: BE = EG

Statement #2: FG//CD

Geometry is truly beautiful, and GMAT loves it. This question is from a collection of 10 challenging GMAT DS practice questions on Geometry. To see the others, as well as the OE for this particular question, see:
GMAT Data Sufficiency Geometry Practice Questions

Mike :-)
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How can M be the midpoint of side BD? Also, I don't think so that AB=CE. Please confirm.

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In the figure, ABCD is a trapezoid with BC//AD, AB = CE, BE//CG, and a 15 Jun 2016, 10:19
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How can M be the midpoint of side BD? Also, I don't think so that AB=CE. Please confirm.

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Dear KbSharma,
Thank you for pointing out those two typos!! I fixed these problems in the post above---the problem should be 100% ready now. Thanks again and let me know if you have any further questions.
Mike :-)
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In the figure, ABCD is a trapezoid with BC//AD, AB = CE, BE//CG, and a 25 Jun 2016, 09:00
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Hi mikemcgarry, please give the solution.
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mikemcgarry
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In the figure, ABCD is a trapezoid with BC//AD, AB = CE, BE//CG, and a 25 Jun 2016, 13:50
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Hi mikemcgarry, please give the solution.
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Dear shalinkotia,
I'm happy to respond. :-)

My friend, in my post at the top of this thread, I gave this link to the original blog post which has a full text explanation with diagrams:
GMAT Data Sufficiency Geometry Practice Questions
This particular problem is the tenth problem on that page. With all due respect, my friend, you cannot have tremendous success in business school or in the business world unless you are more proactive about finding the answer that you need on your own, about taking deep responsibility for your own knowledge & learning. As the ancient Latin motto says, "Fortune favors the bold." My friend, I point this out because I want to see you enjoy bold success in your life.

Best of luck and let me know if you have any further questions.
Mike :-)
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In the figure, ABCD is a trapezoid with BC//AD, AB = CE, BE//CG, and a 26 Jun 2016, 02:41
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Thank you mikemcgarry for the prompt response. Missed reading the last few sentences in your question post.
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In the figure, ABCD is a trapezoid with BC//AD, AB = CE, BE//CG, and a 14 Jan 2022, 06:55
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Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

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