Answer:
The Coordinate of the vertices of Parallelogram RSTU are R(0,0), S(2,3),T(6,3) and U (4,0).
we have to find the vertices of a point which cuts the side of parallelogram ST .It is given that line y = x passes through R.
Suppose that it cuts the side ST at M (p,q).
Equation of line passing through T(6,3)and S (2,3) is
[tex]\frac{y-3}{x-2}= \frac{3-3}{6-3}\\\frac{y-3}{x-2} = 0\\y- 3=0[/tex]
it passes through (p,q)∴
∴ q -3 =0 ...........(1)
Line y=x passes through (p,q).
p -q=0
p=q
Equation (1) becomes
p= q=3
So the line y =x cuts TU at M (3,3).
