Question

(2,4),(5,8),(4,6),(x,y) Find the fourth co - ordinate of the
parallelogram ABCD.​

Answer 1

Answer:

(1,2)

Step-by-step explanation:

Let the vertices by A(2,4) ,B(5,8),C(4,6),D(x,y)

In parallelogram diagonal bisect each other,

so, midpoint of AC=midpoint of BD

Midpoint of AC=( 2+4/2 ,4+6/2)

=(6/2 ,10/2)=(3,5)

Midpoint of BD=(5+x/2 ,8+y/2)

then, 3=5+x/2

6=5+x

x=1

And , 5= 8+y/2

10=8+y

y=2

hence the 4 th co-ordinate is (1,2)