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# Point P is a point inside triangle ABC. Is triangle ABC equilateral?

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Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4666
Point P is a point inside triangle ABC. Is triangle ABC equilateral?  [#permalink]

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24 May 2016, 15:08
1
5
00:00

Difficulty:

65% (hard)

Question Stats:

42% (00:45) correct 58% (00:58) wrong based on 107 sessions

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Triangle with interior point.png [ 5.28 KiB | Viewed 3573 times ]

Point P is a point inside triangle ABC. Is triangle ABC equilateral?

Statement #1: Point P is equidistant from the three vertices A, B, and C.

Statement #2: Triangle ABC has two different lines of symmetry that pass through point P.

Geometry is a beautiful topic! This question comes from a bank of 10 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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Mike McGarry
Magoosh Test Prep

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Math Expert
Joined: 02 Aug 2009
Posts: 6551
Re: Point P is a point inside triangle ABC. Is triangle ABC equilateral?  [#permalink]

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24 May 2016, 19:12
5
mikemcgarry wrote:
Attachment:
Triangle with interior point.png

Point P is a point inside triangle ABC. Is triangle ABC equilateral?

Statement #1: Point P is equidistant from the three vertices A, B, and C.

Statement #2: Triangle ABC has two different lines of symmetry that pass through point P.

Geometry is a beautiful topic! This question comes from a bank of 10 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

Hi,

lets see the statements-

Statement #1: Point P is equidistant from the three vertices A, B, and C.
This is same as THREE points on a circle and point P is the CENTER of the circle...
here we can have various combination of picking 3 points on circle and most will not make an equilateral triangle..
ans can be YES and NO both..
Insuff

Statement #2: Triangle ABC has two different lines of symmetry that pass through point P.
for symmetry, the line has to pass through one vertice and the center of opposite side...
Only 1 such line would most likely make an isosceles triangle, BUT two such lines will happen only in equilateral triangle..
Suff

B
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Re: Point P is a point inside triangle ABC. Is triangle ABC equilateral?  [#permalink]

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11 Dec 2017, 19:52
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Re: Point P is a point inside triangle ABC. Is triangle ABC equilateral? &nbs [#permalink] 11 Dec 2017, 19:52
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