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