One,
Show that the diagonals of a parallelogram bisect eachother.
Two,
Given 4 arbitrary points, z1,z2,z3,z4 in the complex plane, let w1,
w2, w3, w4 be centroids of triangle(tri) z2z3z4 ; tri z1z3z4 ; tri
z1z2z4 ; tri z1z2z3 respectively. Show that the four line segments
joining the points z1 and w1, z2 and w2, and z3 and w3, z4 and w4
intersect at one point.
Thanks
Show that the diagonals of a parallelogram bisect eachother.
Two,
Given 4 arbitrary points, z1,z2,z3,z4 in the complex plane, let w1,
w2, w3, w4 be centroids of triangle(tri) z2z3z4 ; tri z1z3z4 ; tri
z1z2z4 ; tri z1z2z3 respectively. Show that the four line segments
joining the points z1 and w1, z2 and w2, and z3 and w3, z4 and w4
intersect at one point.
Thanks