coordinate systems, training question , grade 9

19/12/2016 Grade 9

In an orthonormal system , given the points: A(1,3), B(0,4) and C(-1,3); and the line : (d): y=x+4

  1. Does A belong to (d)?
  2. Verify that B and C belong to (d) then draw (d).
  3. Prove that B,C, and F(1,5) are collinear.
  4. Show that B is midpoint of [FC].
  5. (BC) cuts (x'x) at point K, find the coordinates of K.
  6. Write the equation of a line (L) passing thru O and A.
  7. Are (L) and (d) parallel?Justify.