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

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Magoosh GMAT Instructor
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Point P is a point inside triangle ABC. Is triangle ABC equilateral? [#permalink]

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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 :-)
[Reveal] Spoiler: OA

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

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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

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

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