Question

Points a ( 3 1) b ( 5 1) c ( a b) and d ( 4 3) are vertices of a parallelogram abcd find the values of a and b

Answer 1

midpoint of diagonals meet in parallelogram.then midpoint of ac= midpoint of bd.midpoint of ac=(3+a/2,1+b/2)=midpoint of bd=(5+4/2,1+3/2).

then3+a=9. i.e.a=6

1+b=4.i.e.b=3