coordinates of r(b,c)
slope of nm is 0.
step-by-step explanation:
the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂) is given by
![(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})](/tex.php?f=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}))
the midpoint of the line segment nk is given by
![(\frac{0+2b}{2},\frac{0+2c}{2})](/tex.php?f=(\frac{0+2b}{2},\frac{0+2c}{2}))
∴r(b,c)
the slope of the line joining the points (x₁,y₁) and (x₂,y₂) is given by
![m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](/tex.php?f=m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}})
slope of rs is
![m_{rs} =\frac{c-c}{a+d-b} = 0](/tex.php?f=m_{rs} =\frac{c-c}{a+d-b} = 0)
hence
coordinates of r(b,c)
and slope of nm is 0.