Question

ABCD is a prallelogram gram whose diagnol intersect at O .if A = (-5,-6) and o (2,-3) then coordinate of c are​

Answer 1

Answer:

Step-by-step explanation:

Let co-ordinates of C be (x,y), co-ordinates of A (-5,-6) = (x1,y1) and co-ordinates of O (2,-3) = (x2,y2)

In parellelogram ABCD,

AC is a diagonal,

BD and AC intersect at O --> given

∴AO=OC  -->Diagonals of parellelogram intersect each other in half

∴Using midpoint forumula:-

x2 = (x1 + x)/2 --> Equation 1

y2 = (y1+y)/2  --> Equation 2

In equation 1,

 2 = (-5+x)/2

∴-5+x=4 ∴x=4+5

x=9

In equation 2,

 -3 = (-6 + y)/2

∴-6 = -6 + y

y=0 (∵ -6+6=y)

∴The co-ordinates of point C are (9,0)

Hope this helps you