**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 =