Question

i) If A (-2, -1), B(a,0), C(4, b) and D(1, 2) are the vertices of a parallelogram,
then complete the following activity to find the values of a and b.
Diagonals of a parallelogram bisect each other.
... coordinates of midpoint of AC = coordinates of midpoint of BD.​

Answer 1

Answer:

a=1andb=3

Step-by-step explanation:

coordinates of midpoint of AC =coordinates of midpoint of BD

-2+4/2,-1+b/2=a+1/2,0+2/2

2/2,-1+b/2=a+1/2,0+2/2

1,-1+b/2 =a+1/2,1

-1+b/2=1

b=2+1=3

a+1=/2=1

a=2-1

a=1