Answer:
coordinate of point A is (a,b)
coordinate of point C is (2c,d)
slope of AD and BC =
Step-by-step explanation:
According to midpoint formula
If we have points P
and Q
then the coordinate (x,y) of mid point of line PQ is given by
and 
now from the given diagram A is the mid point of line joining R(0,0) and S(2a,2b)
Using midpoint formula, coordinates of point A is given by
and 
so we have
coordinate of point A is (a,b)
Also C is the midpoint of line joining T (2c,2d) and V(2c,0)
coordinate of point C is given by
and 
so we have
coordinate of point C is (2c,d)
it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)
If we have points P
and Q
then the slope of PQ =
hence slope of AD= 
=
=
=
and slope of BC =
=
=
=
so we have
slope of AD and BC =