Question

A(-2, 7), B(7, 15), C(-1, -5) and D(h, k) are the vertices of a parallelogram and BC is one of its diagonals. Find(h, k).​

Answer 1

Answer:

here BC is a diagonal so mid points of diagonal are 7-1/2 = 4 and 15-5/2= 5

now mid points of Diagonal AD are same (4,5)

so -2+h/2 = 4 & 7+k/2 = 5

-2+h= 8 & 7+k = 10

h= 8+2 & k= 10-7

h= 10 & k = 3