Medians and Midpoints

Geometry Level pending

Consider the following statements:

  1. Let D be a point on the side BC of a triangle ABC. IF the area of the triangle of ABD = area of triangle ACD, then for any point O on AD the area of triangle ABO = area of triangle ACO.

  2. If G is the point of concurrence of the medians of a triangle ABC, then area of triangle ABG = area of triangle BCG = area of triangle ACG.

Which of the the above statements is/are correct?

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