Mathematics
A(-4, 2), B(0, 2) and C(-2, -4) are vertices of a triangle ABC. P, Q and R are mid-points of sides BC, CA and AB, respectively. Show that the centroid of △PQR is the same as the centroid of △ABC.
Related Questions
If the abscissa of a point P is 2, find the ratio in which this point divides the line segment joining the points (-4, 3) and (6, 3). Also, find the co-ordinates of point P.
Find the image of the point A(5, -3) under reflection in the point P(-1, 3).
M is the mid-point of the line segment joining the points A(0, 4) and B(6, 0). M also divides the line segment OP in the ratio 1 : 3. Find :
(i) co-ordinates of M
(ii) co-ordinates of P
(iii) length of BP
A(3, 1), B(y, 4) and C(1, x) are vertices of triangle ABC and G(3, 4) is its centroid. Find the values of x and y. Also, find the length of side BC.