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General Geometry Question

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Manager
Joined: 06 Feb 2013
Posts: 59

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14 Sep 2013, 01:45
Please see the attachment. From the picture, can we ever assume that x = 1/2y as if the triangle is inscribed in the circle and point D is the "center" of the triangle, and, possibly, of that "imaginary" circle. Or in other words, when dealing with the angles (such as in the example provided) can we ever assume that triangle is circumscribable and draw inferences based on that? Would your answer be the same if we were told that point D is the "center" of the triangle...?

This question was inspired by the OG12 DS 140. I wondering about different possibilities regarding the situation.

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Triangle.png [ 22.5 KiB | Viewed 1463 times ]

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There are times when I do not mind kudos...I do enjoy giving some for help

Intern
Joined: 07 Sep 2013
Posts: 25
Concentration: Entrepreneurship
GPA: 3.52

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15 Sep 2013, 17:28
If this picture appeared in a DS question, then the only thing we can "trust" is that we're dealing with a triangle. We don't know if it's equilateral and we don't know if point D is the center.

t1000
Joined: 29 Mar 2012
Posts: 324
Location: India
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38

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16 Sep 2013, 04:26
1
KUDOS
obs23 wrote:
Please see the attachment. From the picture, can we ever assume that x = 1/2y as if the triangle is inscribed in the circle and point D is the "center" of the triangle, and, possibly, of that "imaginary" circle. Or in other words, when dealing with the angles (such as in the example provided) can we ever assume that triangle is circumscribable and draw inferences based on that? Would your answer be the same if we were told that point D is the "center" of the triangle...?

This question was inspired by the OG12 DS 140. I wondering about different possibilities regarding the situation.

Hi,

You can refer to the following link for more details:
What is the area of circle passing points A, B & C

Regards,
Re: General Geometry Question   [#permalink] 16 Sep 2013, 04:26
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