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General Geometry Question

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General Geometry Question [#permalink] New post 14 Sep 2013, 00:45
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.

Share your thoughts please.
Attachments

Triangle.png
Triangle.png [ 22.5 KiB | Viewed 791 times ]


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Re: General Geometry Question [#permalink] New post 15 Sep 2013, 16:28
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.

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Re: General Geometry Question [#permalink] New post 16 Sep 2013, 03:26
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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.

Share your thoughts please.

Hi,

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

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Re: General Geometry Question   [#permalink] 16 Sep 2013, 03:26
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