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

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Source: Magoosh
Triangle with interior point.png
Point P is a point inside triangle ABC. Is triangle ABC equilateral?

1) Point P is equidistant from the three vertices A, B, and C
2) Triangle ABC has two different lines of symmetry that pass through point P

The OA is B
Source: — Data Sufficiency |