Example: Drawing lines through points

How many lines can be drawn through:Points M and N, simultaneously?

Just point M?

Points M, N, and O at the same time?

N 

M 

O 

Example: Drawing lines through points

How many lines can be drawn through:Points M and N, simultaneously?

Just point M?

Points M, N, and O at the same time?

N 

M 

O 

Example: Drawing lines through points

How many lines can be drawn through:Points M and N, simultaneously?

Just one lineJust point M?

Points M, N, and O at the same time?

N 

M 

O 

Example: Drawing lines through points

How many lines can be drawn through:Points M and N, simultaneously?

Just one lineJust point M?

Points M, N, and O at the same time?

N 

M 

O 

Through point M we already have one line.

Example: Drawing lines through points

How many lines can be drawn through:Points M and N, simultaneously?

Just one lineJust point M?

Points M, N, and O at the same time?

N 

M 

O 

Through point M we already have one line.

However, we can draw many, many more.

Example: Drawing lines through points

How many lines can be drawn through:Points M and N, simultaneously?

Just one lineJust point M?

We can draw an infinite number of lines through point M.Points M, N, and O at the same time?

N 

M 

O 

Through point M we already have one line.

However, we can draw many, many more.

Example: Drawing lines through points

How many lines can be drawn through:Points M and N, simultaneously?

Just one lineJust point M?

We can draw an infinite number of lines through point M.Points M, N, and O at the same time?

Zero lines can be drawn through points M, N, and O

N 

M 

O 

We can draw lines through M and N or M and O, but it is impossible to draw a line through M, N and O simultaneously.