Question

Which is a counterexample for the conditional statement shown? If three distinct points lie in a plane, then the points can form a triangle....

Answer 1

Answer:

We take the example of:

Three collinear points in a plane.

Then we may conclude that they will never form a triangle.

Step-by-step explanation:

We know that a conditional statement is given by:

If p then q

where p is the hypothesis of the statement and q is the conclusion of the statement.

Counter example for a conditional statement--

A counter example is an example that makes the general statement is false.

i.e. a example which fulfills the condition of the hypothesis but does not satisfy the conclusion of the given statement.

• Here the statement is:

If three distinct points lie in a plane, then the points can form a triangle.

i.e. Hypothesis is: Three distinct point lie in a plane.

and conclusion is: The points form a triangle.

So we take a example as:

Three collinear points lie in a plane but they will never form a triangle.