Question

a(1, -2) b(2, 3) c(a, 2) d(-4, -3) the diagonals of parallelogram
. ​

Answer 1

Answer:

a = -3

Step-by-step explanation:

given A(1,-2) , B(2,3). , C(a,2). , D(-4,-3)

we have to find the value of a

AC line intersect the BD line

in parallelogram

we know

mid point of diagonal AC = mid point of diagonal BD

Therefore

{(1+a)/2 , (-2+2)/2} = {(2-4)/2 , (3-3)/2}

compare x component

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

1+a = -2

a = -3. Answer