The vertices of a triangle are at `(2, 2), (0, 6) and (8, 10)`. Find the coordinates of the trisection point of each median which is nearer the opposite side.

The opposite vertices of a square are (2, 6) and (0, -2). Find the coordinates of the other vertices.

Two opposite vertices of a square are (0, -2) (2,6) . Find the coordinates of the other vertices.

The mid-points of the sides of a triangle are (1/2, 0), (1/2, 1/2) and (0, 1/2) . Find the coordinates of the incentre.

Three vertices of a parallelogram are (0, 0, 0), (2, -1, 2) and (5, 6, 8) Find the coordinates of the Fourth vertex.

The mid-points of the sides of a triangle are (1, 2), (0,-1) and (2, -1). Find the coordinates of the vertices of a triangle with the help of two unknowns.

Find the centroid of the triangle ABC whose vertices are A (9, 2), B (1, 10) and C (-7, -6) . Find the coordinates of the middle points of its sides and hence find the centroid of the triangle formed by joining these middle points. Do the two triangles have same centroid?

The mid-points of the sides of a triangle are given by (3, 2, -4), (9, 8, -15) and (5, 4, 6). Find the coordinates of its vertices.