9) Consider in an orthonormal system of axes (x'Ox, y'Oy), the points A(0,1), B(6, 1) and C(6, -1). Let M and N be the midpoints of [AC] and [BC]
respectively.
a) Locate A, B and C.
b) Calculate the coordinates of M and N.
c) Write the equations of the lines (AB), (AC) and (BC).
d) Determine the equation of the perpendicular bisector of [AC].
e) What is the nature of triangle ABC?
f) Calculate the radius of the circle circumscribed about triangle ABC.