Consider the following statements
1.Let D be a point on the side BC of a triangle ABC.If area of a triangle ABD=area of a triangle ACD,then for all points O on AD,area of triangle ABO=area of triangle ACO
2.If G is a point of concurrence of medians of a triangle ABC,then the area of a triangle ABG=area of a triangle BCG=area of a triangle ACG
Which of the above statement are correct?