Mathematics
Grade9
Easy

Question

Which of the following cannot be assumed from the diagram?

  1. Points A, B, C and E are coplanar.
  2. Points F, B and G are collinear.
  3. Line HC is perpendicular to line GE.
     
  4. Line EC intersects plane M at point C.
     

hintHint:

For Collinearity the points must line on the same line.

The correct answer is: Points F, B and G are collinear.


    From the figure it can be seen that line HC is perpendicular to line GE.
    From the figure it can be seen that line EC intersects plane M at point C.
    For Collinearity the points must line on the same line. From the figure it can be seen  that the points F, B and G doesn't lie on the same line. Hence, the points F, B and G are not collinear.