Prove that the centroid of any triangle is the same as the centroid of the triangle formed by joining the middle points of its sides

prove that the area of a triangle is four times the area of the triangle formed by joining the mid-points of its sides.

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?

If Delta_(1) is the area of the triangle formed by the centroid and two vertices of a triangle Delta_(2) is the area of the triangle formed by the mid- point of the sides of the same triangle, then Delta_(1):Delta_(2) =

Find the centroid of the triangle formed by the points (2,7) (3,-1)(-5,6).

In a A B C , find the measures of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

In a A B C , find the measures of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

The centroid of the triangle formed by (2, -5), (2, 7), (4, 7) is

The centroid of the triangle formed by (7, 4), (4, -6), (-5, 2) is

Fill in the blanks to make the following statements correct The triangle formed by joining the mid-points of the sides of an isosceles triangle is .... The triangle formed by joining the mid-points of the sides of a right triangle is .......... The figure formed by joining the mid-points of consecutive sides of a quadrilateral is ....

Prove that a line drawn from the vertex of a triangle to its base is bisected by the line joining the mid points of the remaining two sides of the triangle.