Question

Classify each statement as true or false. If it is false, provide a counter example.

Through any three points, there is exactly one plane.

Short answer

The statement is False.

The counter example is:

If three points are on the same line, then there exist infinite number of planes passing through them.

Step-by-step solution

Step 1. State the definition of planes.

A plane is a two-dimensional flat surface that extends to infinity.

Step 2. State the explanation.

Consider the example,

If three points are on the same line, then there exist infinite number of planes passing through them.

Step 3. State the conclusion.

Therefore, the statement False.