The point a(1,2), b(2,3), c(k,2), d(-4,-3) are the vertices of a parallelogram . Find the value of k.
Answers
Answered by
1
Answer:
Given :
Vertices of a parallelogram are A ( 1 , - 2 ) , B ( 2 , 3 ) , C ( k , 2 ) and D ( - 4 , - 3 ).
We know Diagonal of parallelogram bisect each other .
Midpoint of AC = mid point of BD
= > ( 1 + k / 2 , -2 + 2 / 2 ) = ( - 4 + 2 / 2 , - 3 + 3 / 2 )
= > 1 + k / 2 = - 2 / 2
= > 1 + k = - 2
= > k = - 3 .
Therefore , the value of k is - 3 .
Attachments:
Answered by
0
Answer:
yfdlxytjhgvjghhfgvgkhjhfmgvbkhjh,gmbvhj,kgn
Step-by-step explanation:
Similar questions