Question

the points A(1,-2),B(2,3),C(k,2) and D(-4,-3) are rhe vertices of a parallelogram find the value of k

Answer 1

Answer:

k=-3

Step-by-step explanation:

We know that,

Diagonals bisect each other in parallelogram.

So Midpoints of AC and BD are the same.

So,

x⇒

(1+k)/2=(2-4)/2

∴ 1+k=-2

     k=-3

Answer 2

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 .