Coordinate Geometry

    Cards (11)

    • What are the coordinates of point C?
      (c, 2)
    • What are the coordinates of point D?
      (6, d)
    • What is the equation of the perpendicular bisector of CD?
      y + 4x = 11
    • How do you find the gradient of line segment CD?
      Difference in y over difference in x
    • What is the gradient of line segment CD if the perpendicular bisector has a gradient of 4?
      -4
    • What equation is formed from the gradient of CD?
      4d - 8 = 6 - c
    • What is the second equation formed for c and d?
      c + 4d = 14
    • What is the equation for the midpoint of CD?
      \(\frac{2 + d}{2} = 11\)
    • What is the equation derived from the midpoint condition?
      4c + d = -4
    • What are the final values of c and d?
      c = -2, d = 4
    • What are the steps to find c and d given the coordinates and the perpendicular bisector?
      1. Identify coordinates of points C and D.
      2. Use the equation of the perpendicular bisector.
      3. Calculate the gradient of CD.
      4. Form equations based on the gradient.
      5. Solve the equations for c and d.